3x^2+18x-43=5

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Solution for 3x^2+18x-43=5 equation:


Simplifying
3x2 + 18x + -43 = 5

Reorder the terms:
-43 + 18x + 3x2 = 5

Solving
-43 + 18x + 3x2 = 5

Solving for variable 'x'.

Reorder the terms:
-43 + -5 + 18x + 3x2 = 5 + -5

Combine like terms: -43 + -5 = -48
-48 + 18x + 3x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-48 + 18x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + 6x + x2) = 0

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

Ignore the factor 3.

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 '(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 = {-8, 2}

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