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