8x^2+16x-93=-3

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Solution for 8x^2+16x-93=-3 equation:


Simplifying
8x2 + 16x + -93 = -3

Reorder the terms:
-93 + 16x + 8x2 = -3

Solving
-93 + 16x + 8x2 = -3

Solving for variable 'x'.

Reorder the terms:
-93 + 3 + 16x + 8x2 = -3 + 3

Combine like terms: -93 + 3 = -90
-90 + 16x + 8x2 = -3 + 3

Combine like terms: -3 + 3 = 0
-90 + 16x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + 8x + 4x2) = 0

Factor a trinomial.
2((-9 + -2x)(5 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5

Subproblem 2

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {-4.5, 2.5}

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