5x^2+8=4x^2-6x

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Solution for 5x^2+8=4x^2-6x equation:


Simplifying
5x2 + 8 = 4x2 + -6x

Reorder the terms:
8 + 5x2 = 4x2 + -6x

Reorder the terms:
8 + 5x2 = -6x + 4x2

Solving
8 + 5x2 = -6x + 4x2

Solving for variable 'x'.

Reorder the terms:
8 + 6x + 5x2 + -4x2 = -6x + 4x2 + 6x + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
8 + 6x + 1x2 = -6x + 4x2 + 6x + -4x2

Reorder the terms:
8 + 6x + 1x2 = -6x + 6x + 4x2 + -4x2

Combine like terms: -6x + 6x = 0
8 + 6x + 1x2 = 0 + 4x2 + -4x2
8 + 6x + 1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
8 + 6x + 1x2 = 0

Factor a trinomial.
(4 + x)(2 + x) = 0

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

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

Solution

x = {-4, -2}

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