Question

10a^2-27ab+5b^2

Answer 1

10a2 + -27ab + 5b2 = 0
Reorder the terms:
-27ab + 10a2 + 5b2 = 0
-27ab + 10a2 + 5b2 = 0
Solving for variable 'a'.
Factor a trinomial.
(2a + -5b)(5a + -1b) = 0
Subproblem 1Set the factor '(2a + -5b)' equal to zero and attempt to solve:
2a + -5b = 0
2a + -5b = 0
Move all terms containing a to the left, all other terms to the right.
Add '5b' to each side of the equation.
2a + -5b + 5b = 0 + 5b
Combine like terms: -5b + 5b = 0
2a + 0 = 0 + 5b
2a = 0 + 5b
Remove the zero:
2a = 5b
Divide each side by '2'.
a = 2.5b
a = 2.5b
Subproblem 2Set the factor '(5a + -1b)' equal to zero and attempt to solve:
5a + -1b = 0
Solving
5a + -1b = 0
Move all terms containing a to the left, all other terms to the right.
Add 'b' to each side of the equation.
5a + -1b + b = 0 + b
Combine like terms: -1b + b = 0
5a + 0 = 0 + b
5a = 0 + b
Remove the zero:
5a = b
Divide each side by '5'.
a = 0.2bSolutiona = {2.5b, 0.2b}

Answer 2

I hope that this explains how to solve a problem like this.

Answer 3

this not the ac method