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Simplifying 4x2 + -20x + 25 + -53 + -3x + 17x = 0 Reorder the terms: 25 + -53 + -20x + -3x + 17x + 4x2 = 0 Combine like terms: 25 + -53 = -28 -28 + -20x + -3x + 17x + 4x2 = 0 Combine like terms: -20x + -3x = -23x -28 + -23x + 17x + 4x2 = 0 Combine like terms: -23x + 17x = -6x -28 + -6x + 4x2 = 0 Solving -28 + -6x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -3x + 2x2) = 0 Factor a trinomial. 2((-2 + -1x)(7 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-2, 3.5}
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