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Simplifying x(3x + 2) = 1496 Reorder the terms: x(2 + 3x) = 1496 (2 * x + 3x * x) = 1496 (2x + 3x2) = 1496 Solving 2x + 3x2 = 1496 Solving for variable 'x'. Reorder the terms: -1496 + 2x + 3x2 = 1496 + -1496 Combine like terms: 1496 + -1496 = 0 -1496 + 2x + 3x2 = 0 Factor a trinomial. (-68 + -3x)(22 + -1x) = 0Subproblem 1
Set the factor '(-68 + -3x)' equal to zero and attempt to solve: Simplifying -68 + -3x = 0 Solving -68 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -3x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -3x = 0 + 68 -3x = 0 + 68 Combine like terms: 0 + 68 = 68 -3x = 68 Divide each side by '-3'. x = -22.66666667 Simplifying x = -22.66666667Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22Solution
x = {-22.66666667, 22}
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