Question

Factor completely: 4x3 + 28x2 + 7x + 49

(x − 7)(4x2 + 7)

(x − 7)(4x2 − 7)

(x + 7)(4x2 + 7)

(x + 7)(4x2 − 7)

Answer 1

4x^3 + 28x^2 + 7x + 49

4x^2(x+7) + 7(x+7)

(4x^2+7)(x+7)

(x+7)(4x^2+7)

Answer 2

4x^2(x+7)+7(x+7)
(4x^2+7)(x+7)

Answer 3

Simplifying
12(x2 + 3x + -18) = 0

Reorder the terms:
12(-18 + 3x + x2) = 0
(-18 * 12 + 3x * 12 + x2 * 12) = 0
(-216 + 36x + 12x2) = 0

Solving
-216 + 36x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-18 + 3x + x2) = 0

Factor a trinomial.
12((-6 + -1x)(3 + -1x)) = 0

Ignore the factor 12.
Subproblem 1Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3Solutionx = {-6, 3}

Answer 4

bloog it never said it was an equation. just something to factor. there is nothing to solve for.