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Simplifying 2x2 + -12x + -6(180) + -180(30) = 0 Multiply -6 * 180 2x2 + -12x + -1080 + -180(30) = 0 Multiply -180 * 30 2x2 + -12x + -1080 + -5400 = 0 Reorder the terms: -1080 + -5400 + -12x + 2x2 = 0 Combine like terms: -1080 + -5400 = -6480 -6480 + -12x + 2x2 = 0 Solving -6480 + -12x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3240 + -6x + x2) = 0 Factor a trinomial. 2((-54 + -1x)(60 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-54 + -1x)' equal to zero and attempt to solve: Simplifying -54 + -1x = 0 Solving -54 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -1x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -1x = 0 + 54 -1x = 0 + 54 Combine like terms: 0 + 54 = 54 -1x = 54 Divide each side by '-1'. x = -54 Simplifying x = -54Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {-54, 60}
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