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Simplifying 252 = 30x2 + -6x Reorder the terms: 252 = -6x + 30x2 Solving 252 = -6x + 30x2 Solving for variable 'x'. Reorder the terms: 252 + 6x + -30x2 = -6x + 6x + 30x2 + -30x2 Combine like terms: -6x + 6x = 0 252 + 6x + -30x2 = 0 + 30x2 + -30x2 252 + 6x + -30x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 252 + 6x + -30x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(42 + x + -5x2) = 0 Factor a trinomial. 6((3 + -1x)(14 + 5x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(14 + 5x)' equal to zero and attempt to solve: Simplifying 14 + 5x = 0 Solving 14 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 0 + -14 5x = 0 + -14 Combine like terms: 0 + -14 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8Solution
x = {3, -2.8}
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