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Simplifying -3x2 + 42x = 147 Reorder the terms: 42x + -3x2 = 147 Solving 42x + -3x2 = 147 Solving for variable 'x'. Reorder the terms: -147 + 42x + -3x2 = 147 + -147 Combine like terms: 147 + -147 = 0 -147 + 42x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-49 + 14x + -1x2) = 0 Factor a trinomial. 3((-7 + x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {7, 7}
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