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Simplifying 9x2 + 163x + 700 = 0 Reorder the terms: 700 + 163x + 9x2 = 0 Solving 700 + 163x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (100 + 9x)(7 + x) = 0Subproblem 1
Set the factor '(100 + 9x)' equal to zero and attempt to solve: Simplifying 100 + 9x = 0 Solving 100 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 9x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 9x = 0 + -100 9x = 0 + -100 Combine like terms: 0 + -100 = -100 9x = -100 Divide each side by '9'. x = -11.11111111 Simplifying x = -11.11111111Subproblem 2
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 = -7Solution
x = {-11.11111111, -7}
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