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Simplifying 30x2 = 3 + -9x Solving 30x2 = 3 + -9x Solving for variable 'x'. Reorder the terms: -3 + 9x + 30x2 = 3 + -9x + -3 + 9x Reorder the terms: -3 + 9x + 30x2 = 3 + -3 + -9x + 9x Combine like terms: 3 + -3 = 0 -3 + 9x + 30x2 = 0 + -9x + 9x -3 + 9x + 30x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -3 + 9x + 30x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 3x + 10x2) = 0 Factor a trinomial. 3((-1 + -2x)(1 + -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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-0.5, 0.2}
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