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Simplifying x(x + -3) = 1330 Reorder the terms: x(-3 + x) = 1330 (-3 * x + x * x) = 1330 (-3x + x2) = 1330 Solving -3x + x2 = 1330 Solving for variable 'x'. Reorder the terms: -1330 + -3x + x2 = 1330 + -1330 Combine like terms: 1330 + -1330 = 0 -1330 + -3x + x2 = 0 Factor a trinomial. (-35 + -1x)(38 + -1x) = 0Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve: Simplifying -35 + -1x = 0 Solving -35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 0 + 35 -1x = 0 + 35 Combine like terms: 0 + 35 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35Subproblem 2
Set the factor '(38 + -1x)' equal to zero and attempt to solve: Simplifying 38 + -1x = 0 Solving 38 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -1x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 0 + -38 -1x = 0 + -38 Combine like terms: 0 + -38 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38Solution
x = {-35, 38}
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