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Simplifying -45x2 + 88x + -28 = 0 Reorder the terms: -28 + 88x + -45x2 = 0 Solving -28 + 88x + -45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + 9x)(2 + -5x) = 0Subproblem 1
Set the factor '(-14 + 9x)' equal to zero and attempt to solve: Simplifying -14 + 9x = 0 Solving -14 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 0 + 14 9x = 0 + 14 Combine like terms: 0 + 14 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {1.555555556, 0.4}
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