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Simplifying 9x2 + 42x + 49 = 784 Reorder the terms: 49 + 42x + 9x2 = 784 Solving 49 + 42x + 9x2 = 784 Solving for variable 'x'. Reorder the terms: 49 + -784 + 42x + 9x2 = 784 + -784 Combine like terms: 49 + -784 = -735 -735 + 42x + 9x2 = 784 + -784 Combine like terms: 784 + -784 = 0 -735 + 42x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-245 + 14x + 3x2) = 0 Factor a trinomial. 3((-35 + -3x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-35 + -3x)' equal to zero and attempt to solve: Simplifying -35 + -3x = 0 Solving -35 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -3x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = 0 + 35 -3x = 0 + 35 Combine like terms: 0 + 35 = 35 -3x = 35 Divide each side by '-3'. x = -11.66666667 Simplifying x = -11.66666667Subproblem 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 = {-11.66666667, 7}
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