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Simplifying 4x2 + 54x + 729 = 787 Reorder the terms: 729 + 54x + 4x2 = 787 Solving 729 + 54x + 4x2 = 787 Solving for variable 'x'. Reorder the terms: 729 + -787 + 54x + 4x2 = 787 + -787 Combine like terms: 729 + -787 = -58 -58 + 54x + 4x2 = 787 + -787 Combine like terms: 787 + -787 = 0 -58 + 54x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-29 + 27x + 2x2) = 0 Factor a trinomial. 2((-29 + -2x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-29 + -2x)' equal to zero and attempt to solve: Simplifying -29 + -2x = 0 Solving -29 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -2x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = 0 + 29 -2x = 0 + 29 Combine like terms: 0 + 29 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5Subproblem 2
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 = 1Solution
x = {-14.5, 1}
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