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Simplifying (9x2) + (30x) = 144 Reorder the terms: (30x) + (9x2) = 144 Solving (30x) + (9x2) = 144 Solving for variable 'x'. Reorder the terms: -144 + (30x) + (9x2) = 144 + -144 Combine like terms: 144 + -144 = 0 -144 + (30x) + (9x2) = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-48 + (10x) + (3x2)) = 0 Factor a trinomial. 3((-6 + -1x)(8 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-6, 2.666666667}
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