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Simplifying 30x2 = 3x + 9 Reorder the terms: 30x2 = 9 + 3x Solving 30x2 = 9 + 3x Solving for variable 'x'. Reorder the terms: -9 + -3x + 30x2 = 9 + 3x + -9 + -3x Reorder the terms: -9 + -3x + 30x2 = 9 + -9 + 3x + -3x Combine like terms: 9 + -9 = 0 -9 + -3x + 30x2 = 0 + 3x + -3x -9 + -3x + 30x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -3x + 30x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -1x + 10x2) = 0 Factor a trinomial. 3((-1 + -2x)(3 + -5x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 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 = {-0.5, 0.6}
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