x^2=2(x+40)

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Solution for x^2=2(x+40) equation: 


Simplifying
x2 = 2(x + 40)

Reorder the terms:
x2 = 2(40 + x)
x2 = (40 * 2 + x * 2)
x2 = (80 + 2x)

Solving
x2 = 80 + 2x

Solving for variable 'x'.

Reorder the terms:
-80 + -2x + x2 = 80 + 2x + -80 + -2x

Reorder the terms:
-80 + -2x + x2 = 80 + -80 + 2x + -2x

Combine like terms: 80 + -80 = 0
-80 + -2x + x2 = 0 + 2x + -2x
-80 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-80 + -2x + x2 = 0

Factor a trinomial.
(-8 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-8, 10}

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