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Simplifying x(3x + -16) = 1904 Reorder the terms: x(-16 + 3x) = 1904 (-16 * x + 3x * x) = 1904 (-16x + 3x2) = 1904 Solving -16x + 3x2 = 1904 Solving for variable 'x'. Reorder the terms: -1904 + -16x + 3x2 = 1904 + -1904 Combine like terms: 1904 + -1904 = 0 -1904 + -16x + 3x2 = 0 Factor a trinomial. (-68 + -3x)(28 + -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 '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-22.66666667, 28}
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