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Simplifying 7x2 + -167x + 990 = 0 Reorder the terms: 990 + -167x + 7x2 = 0 Solving 990 + -167x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -1x)(90 + -7x) = 0Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(90 + -7x)' equal to zero and attempt to solve: Simplifying 90 + -7x = 0 Solving 90 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -7x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -7x = 0 + -90 -7x = 0 + -90 Combine like terms: 0 + -90 = -90 -7x = -90 Divide each side by '-7'. x = 12.85714286 Simplifying x = 12.85714286Solution
x = {11, 12.85714286}
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