8x^2-3x=5

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Solution for 8x^2-3x=5 equation:


Simplifying
8x2 + -3x = 5

Reorder the terms:
-3x + 8x2 = 5

Solving
-3x + 8x2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + -3x + 8x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -3x + 8x2 = 0

Factor a trinomial.
(-5 + -8x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625

Subproblem 2

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

Solution

x = {-0.625, 1}

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