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Simplifying 28X2 + -43X + -45 = 0 Reorder the terms: -45 + -43X + 28X2 = 0 Solving -45 + -43X + 28X2 = 0 Solving for variable 'X'. Factor a trinomial. (-5 + -7X)(9 + -4X) = 0Subproblem 1
Set the factor '(-5 + -7X)' equal to zero and attempt to solve: Simplifying -5 + -7X = 0 Solving -5 + -7X = 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 + -7X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7X = 0 + 5 -7X = 0 + 5 Combine like terms: 0 + 5 = 5 -7X = 5 Divide each side by '-7'. X = -0.7142857143 Simplifying X = -0.7142857143Subproblem 2
Set the factor '(9 + -4X)' equal to zero and attempt to solve: Simplifying 9 + -4X = 0 Solving 9 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4X = 0 + -9 -4X = 0 + -9 Combine like terms: 0 + -9 = -9 -4X = -9 Divide each side by '-4'. X = 2.25 Simplifying X = 2.25Solution
X = {-0.7142857143, 2.25}
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