2(3x^2+23x-8)=0

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Solution for 2(3x^2+23x-8)=0 equation:


Simplifying
2(3x2 + 23x + -8) = 0

Reorder the terms:
2(-8 + 23x + 3x2) = 0
(-8 * 2 + 23x * 2 + 3x2 * 2) = 0
(-16 + 46x + 6x2) = 0

Solving
-16 + 46x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 23x + 3x2) = 0

Factor a trinomial.
2((-8 + -1x)(1 + -3x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {-8, 0.3333333333}

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