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Simplifying 7x2 + -9x + -90 = 0 Reorder the terms: -90 + -9x + 7x2 = 0 Solving -90 + -9x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(30 + -7x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(30 + -7x)' equal to zero and attempt to solve: Simplifying 30 + -7x = 0 Solving 30 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 0 + -30 -7x = 0 + -30 Combine like terms: 0 + -30 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286Solution
x = {-3, 4.285714286}
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