5x^2+8x-10=6-8x

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Solution for 5x^2+8x-10=6-8x equation:


Simplifying
5x2 + 8x + -10 = 6 + -8x

Reorder the terms:
-10 + 8x + 5x2 = 6 + -8x

Solving
-10 + 8x + 5x2 = 6 + -8x

Solving for variable 'x'.

Reorder the terms:
-10 + -6 + 8x + 8x + 5x2 = 6 + -8x + -6 + 8x

Combine like terms: -10 + -6 = -16
-16 + 8x + 8x + 5x2 = 6 + -8x + -6 + 8x

Combine like terms: 8x + 8x = 16x
-16 + 16x + 5x2 = 6 + -8x + -6 + 8x

Reorder the terms:
-16 + 16x + 5x2 = 6 + -6 + -8x + 8x

Combine like terms: 6 + -6 = 0
-16 + 16x + 5x2 = 0 + -8x + 8x
-16 + 16x + 5x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-16 + 16x + 5x2 = 0

Factor a trinomial.
(-4 + -1x)(4 + -5x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

Solution

x = {-4, 0.8}

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