x^2-2(4x-5)=4x+10

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Solution for x^2-2(4x-5)=4x+10 equation: 


Simplifying
x2 + -2(4x + -5) = 4x + 10

Reorder the terms:
x2 + -2(-5 + 4x) = 4x + 10
x2 + (-5 * -2 + 4x * -2) = 4x + 10
x2 + (10 + -8x) = 4x + 10

Reorder the terms:
10 + -8x + x2 = 4x + 10

Reorder the terms:
10 + -8x + x2 = 10 + 4x

Add '-10' to each side of the equation.
10 + -8x + -10 + x2 = 10 + -10 + 4x

Reorder the terms:
10 + -10 + -8x + x2 = 10 + -10 + 4x

Combine like terms: 10 + -10 = 0
0 + -8x + x2 = 10 + -10 + 4x
-8x + x2 = 10 + -10 + 4x

Combine like terms: 10 + -10 = 0
-8x + x2 = 0 + 4x
-8x + x2 = 4x

Solving
-8x + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-8x + -4x + x2 = 4x + -4x

Combine like terms: -8x + -4x = -12x
-12x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-12x + x2 = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Simplifying
x = 12
Solution
x = {0, 12}

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