(x*x)=20x-100

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Solution for (x*x)=20x-100 equation:


Simplifying
(x * x) = 20x + -100

Multiply x * x
(x2) = 20x + -100
x2 = 20x + -100

Reorder the terms:
x2 = -100 + 20x

Solving
x2 = -100 + 20x

Solving for variable 'x'.

Reorder the terms:
100 + -20x + x2 = -100 + 20x + 100 + -20x

Reorder the terms:
100 + -20x + x2 = -100 + 100 + 20x + -20x

Combine like terms: -100 + 100 = 0
100 + -20x + x2 = 0 + 20x + -20x
100 + -20x + x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
100 + -20x + x2 = 0

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

Subproblem 1

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

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 = {10, 10}

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