18(2x^2-9x-56)=0

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Solution for 18(2x^2-9x-56)=0 equation:


Simplifying
18(2x2 + -9x + -56) = 0

Reorder the terms:
18(-56 + -9x + 2x2) = 0
(-56 * 18 + -9x * 18 + 2x2 * 18) = 0
(-1008 + -162x + 36x2) = 0

Solving
-1008 + -162x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18'.
18(-56 + -9x + 2x2) = 0

Factor a trinomial.
18((-7 + -2x)(8 + -1x)) = 0

Ignore the factor 18.

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

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

Solution

x = {-3.5, 8}

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