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Simplifying 6x2 + 4x = 240 Reorder the terms: 4x + 6x2 = 240 Solving 4x + 6x2 = 240 Solving for variable 'x'. Reorder the terms: -240 + 4x + 6x2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + 4x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-120 + 2x + 3x2) = 0 Factor a trinomial. 2((-20 + -3x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
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 = 6Solution
x = {-6.666666667, 6}
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