8x^2-23x+5=8

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Solution for 8x^2-23x+5=8 equation:


Simplifying
8x2 + -23x + 5 = 8

Reorder the terms:
5 + -23x + 8x2 = 8

Solving
5 + -23x + 8x2 = 8

Solving for variable 'x'.

Reorder the terms:
5 + -8 + -23x + 8x2 = 8 + -8

Combine like terms: 5 + -8 = -3
-3 + -23x + 8x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-3 + -23x + 8x2 = 0

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

Subproblem 1

Set the factor '(-1 + -8x)' equal to zero and attempt to solve: Simplifying -1 + -8x = 0 Solving -1 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 0 + 1 -8x = 0 + 1 Combine like terms: 0 + 1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125

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 = {-0.125, 3}

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