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Simplifying 9x2 + 48x = 36 Reorder the terms: 48x + 9x2 = 36 Solving 48x + 9x2 = 36 Solving for variable 'x'. Reorder the terms: -36 + 48x + 9x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 48x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + 16x + 3x2) = 0 Factor a trinomial. 3((-6 + -1x)(2 + -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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-6, 0.6666666667}
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