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Simplifying 5x2 + -17x + -28 = 2x2 Reorder the terms: -28 + -17x + 5x2 = 2x2 Solving -28 + -17x + 5x2 = 2x2 Solving for variable 'x'. Combine like terms: 5x2 + -2x2 = 3x2 -28 + -17x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -28 + -17x + 3x2 = 0 Factor a trinomial. (-4 + -3x)(7 + -1x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-1.333333333, 7}
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