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Simplifying 3x2 = 30x + 600 Reorder the terms: 3x2 = 600 + 30x Solving 3x2 = 600 + 30x Solving for variable 'x'. Reorder the terms: -600 + -30x + 3x2 = 600 + 30x + -600 + -30x Reorder the terms: -600 + -30x + 3x2 = 600 + -600 + 30x + -30x Combine like terms: 600 + -600 = 0 -600 + -30x + 3x2 = 0 + 30x + -30x -600 + -30x + 3x2 = 30x + -30x Combine like terms: 30x + -30x = 0 -600 + -30x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-200 + -10x + x2) = 0 Factor a trinomial. 3((-10 + -1x)(20 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 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 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-10, 20}
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