2x^2-48=-10x

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Solution for 2x^2-48=-10x equation:


Simplifying
2x2 + -48 = -10x

Reorder the terms:
-48 + 2x2 = -10x

Solving
-48 + 2x2 = -10x

Solving for variable 'x'.

Reorder the terms:
-48 + 10x + 2x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
-48 + 10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 5x + x2) = 0

Factor a trinomial.
2((-8 + -1x)(3 + -1x)) = 0

Ignore the factor 2.

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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-8, 3}

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