-2x(-2x)=-9x+13

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Solution for -2x(-2x)=-9x+13 equation: 


Simplifying
-2x(-2x) = -9x + 13

Remove parenthesis around (-2x)
-2x * -2x = -9x + 13

Reorder the terms for easier multiplication:
-2 * -2x * x = -9x + 13

Multiply -2 * -2
4x * x = -9x + 13

Multiply x * x
4x2 = -9x + 13

Reorder the terms:
4x2 = 13 + -9x

Solving
4x2 = 13 + -9x

Solving for variable 'x'.

Reorder the terms:
-13 + 9x + 4x2 = 13 + -9x + -13 + 9x

Reorder the terms:
-13 + 9x + 4x2 = 13 + -13 + -9x + 9x

Combine like terms: 13 + -13 = 0
-13 + 9x + 4x2 = 0 + -9x + 9x
-13 + 9x + 4x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-13 + 9x + 4x2 = 0

Factor a trinomial.
(-13 + -4x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -4x)' equal to zero and attempt to solve:

Simplifying
-13 + -4x = 0

Solving
-13 + -4x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -4x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = 0 + 13
-4x = 0 + 13

Combine like terms: 0 + 13 = 13
-4x = 13

Divide each side by '-4'.
x = -3.25

Simplifying
x = -3.25

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-3.25, 1}

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