Question

Solve 2x2 = 14x + 20

Answer 1

don't know how to solve a quadratic equation ?

Answer 2

can u factorize ?
2x^2-14x-20 = 0

Answer 3

Yes I know how to factorize it, but the options given are confusing

Answer 4

2x2 + 14x + 20 = 0

Reorder the terms:
20 + 14x + 2x2 = 0

Solving
20 + 14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 7x + x2) = 0

Factor a trinomial.
2((5 + x)(2 + x)) = 0

Ignore the factor 2.
Subproblem 1Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 2Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Answer 5

I found my answer, I just had some trouble

Answer 6

reordering is incorrect

Answer 7

did u get how 2x^2-14x-20 = 0
?

Answer 8

2x2 = 14x + 20
subtracting 14x and 20 on both sides
2x^2-14x-20 =0
2(x^2-7x-10) =0
u need to solve x^2-7x-10 =0
using the quadratic formula.

Answer 9

factoring will not help.

Answer 10

Yes

Answer 11

I had to find both x's

Answer 12

-5 and -2

Answer 13

-5 and -2 is incorrect
because -5*-2 = 10
and not -10
factoring will not help here, u need to use quadratic formula