(2x^2-2)=(10x-2)

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


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

Reorder the terms:
(-2 + 2x2) = (10x + -2)

Remove parenthesis around (-2 + 2x2)
-2 + 2x2 = (10x + -2)

Reorder the terms:
-2 + 2x2 = (-2 + 10x)

Remove parenthesis around (-2 + 10x)
-2 + 2x2 = -2 + 10x

Add '2' to each side of the equation.
-2 + 2 + 2x2 = -2 + 2 + 10x

Combine like terms: -2 + 2 = 0
0 + 2x2 = -2 + 2 + 10x
2x2 = -2 + 2 + 10x

Combine like terms: -2 + 2 = 0
2x2 = 0 + 10x
2x2 = 10x

Solving
2x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-10x + 2x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5 + x) = 0

Ignore the factor 2.

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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5

Solution

x = {0, 5}

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