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Simplifying 10x2 + 11x + -90 = 0 Reorder the terms: -90 + 11x + 10x2 = 0 Solving -90 + 11x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-18 + -5x)(5 + -2x) = 0Subproblem 1
Set the factor '(-18 + -5x)' equal to zero and attempt to solve: Simplifying -18 + -5x = 0 Solving -18 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 0 + 18 -5x = 0 + 18 Combine like terms: 0 + 18 = 18 -5x = 18 Divide each side by '-5'. x = -3.6 Simplifying x = -3.6Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-3.6, 2.5}
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