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Simplifying 21x(x + -3) + 17(x + -3) = 0 Reorder the terms: 21x(-3 + x) + 17(x + -3) = 0 (-3 * 21x + x * 21x) + 17(x + -3) = 0 (-63x + 21x2) + 17(x + -3) = 0 Reorder the terms: -63x + 21x2 + 17(-3 + x) = 0 -63x + 21x2 + (-3 * 17 + x * 17) = 0 -63x + 21x2 + (-51 + 17x) = 0 Reorder the terms: -51 + -63x + 17x + 21x2 = 0 Combine like terms: -63x + 17x = -46x -51 + -46x + 21x2 = 0 Solving -51 + -46x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -21x)(3 + -1x) = 0Subproblem 1
Set the factor '(-17 + -21x)' equal to zero and attempt to solve: Simplifying -17 + -21x = 0 Solving -17 + -21x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -21x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -21x = 0 + 17 -21x = 0 + 17 Combine like terms: 0 + 17 = 17 -21x = 17 Divide each side by '-21'. x = -0.8095238095 Simplifying x = -0.8095238095Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.8095238095, 3}
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