5x^2-10x=-5

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Solution for 5x^2-10x=-5 equation:


Simplifying
5x2 + -10x = -5

Reorder the terms:
-10x + 5x2 = -5

Solving
-10x + 5x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + -10x + 5x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -10x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + -2x + x2) = 0

Factor a trinomial.
5((1 + -1x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

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

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 = {1, 1}

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