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Simplifying -1x(-2x + -3) + -464 = 0 Reorder the terms: -1x(-3 + -2x) + -464 = 0 (-3 * -1x + -2x * -1x) + -464 = 0 (3x + 2x2) + -464 = 0 Reorder the terms: -464 + 3x + 2x2 = 0 Solving -464 + 3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -1x)(29 + -2x) = 0Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16Subproblem 2
Set the factor '(29 + -2x)' equal to zero and attempt to solve: Simplifying 29 + -2x = 0 Solving 29 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -2x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -2x = 0 + -29 -2x = 0 + -29 Combine like terms: 0 + -29 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5Solution
x = {-16, 14.5}
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