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Simplifying 45x2 + 14x + -40 = 0 Reorder the terms: -40 + 14x + 45x2 = 0 Solving -40 + 14x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -9x)(4 + -5x) = 0Subproblem 1
Set the factor '(-10 + -9x)' equal to zero and attempt to solve: Simplifying -10 + -9x = 0 Solving -10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 0 + 10 -9x = 0 + 10 Combine like terms: 0 + 10 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {-1.111111111, 0.8}
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