5x^2-8=6x

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


Simplifying
5x2 + -8 = 6x

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

Solving
-8 + 5x2 = 6x

Solving for variable 'x'.

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

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

Factor a trinomial.
(-4 + -5x)(2 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-0.8, 2}

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