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Simplifying -48 + 69x = -30x2 + 7x Reorder the terms: -48 + 69x = 7x + -30x2 Solving -48 + 69x = 7x + -30x2 Solving for variable 'x'. Combine like terms: 69x + -7x = 62x -48 + 62x + 30x2 = 7x + -30x2 + -7x + 30x2 Reorder the terms: -48 + 62x + 30x2 = 7x + -7x + -30x2 + 30x2 Combine like terms: 7x + -7x = 0 -48 + 62x + 30x2 = 0 + -30x2 + 30x2 -48 + 62x + 30x2 = -30x2 + 30x2 Combine like terms: -30x2 + 30x2 = 0 -48 + 62x + 30x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 31x + 15x2) = 0 Factor a trinomial. 2((-8 + -3x)(3 + -5x)) = 0 Ignore the factor 2.Subproblem 1
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 = -2.666666667Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-2.666666667, 0.6}
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