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Simplifying 3x2 + -51x = 54 Reorder the terms: -51x + 3x2 = 54 Solving -51x + 3x2 = 54 Solving for variable 'x'. Reorder the terms: -54 + -51x + 3x2 = 54 + -54 Combine like terms: 54 + -54 = 0 -54 + -51x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-18 + -17x + x2) = 0 Factor a trinomial. 3((-1 + -1x)(18 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-1, 18}
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