2x^2-12x+10=10

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Solution for 2x^2-12x+10=10 equation:


Simplifying
2x2 + -12x + 10 = 10

Reorder the terms:
10 + -12x + 2x2 = 10

Add '-10' to each side of the equation.
10 + -12x + -10 + 2x2 = 10 + -10

Reorder the terms:
10 + -10 + -12x + 2x2 = 10 + -10

Combine like terms: 10 + -10 = 0
0 + -12x + 2x2 = 10 + -10
-12x + 2x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-12x + 2x2 = 0

Solving
-12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Solution

x = {0, 6}

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