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Simplifying -4.0x2 + 20x + 65 = 89 Reorder the terms: 65 + 20x + -4.0x2 = 89 Solving 65 + 20x + -4.0x2 = 89 Solving for variable 'x'. Reorder the terms: 65 + -89 + 20x + -4.0x2 = 89 + -89 Combine like terms: 65 + -89 = -24 -24 + 20x + -4.0x2 = 89 + -89 Combine like terms: 89 + -89 = 0 -24 + 20x + -4.0x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 5x + -1x2) = 0 Factor a trinomial. 4((-3 + x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {3, 2}
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