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Simplifying x(8x + -3) = 11 Reorder the terms: x(-3 + 8x) = 11 (-3 * x + 8x * x) = 11 (-3x + 8x2) = 11 Solving -3x + 8x2 = 11 Solving for variable 'x'. Reorder the terms: -11 + -3x + 8x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + -3x + 8x2 = 0 Factor a trinomial. (-1 + -1x)(11 + -8x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(11 + -8x)' equal to zero and attempt to solve: Simplifying 11 + -8x = 0 Solving 11 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 0 + -11 -8x = 0 + -11 Combine like terms: 0 + -11 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375Solution
x = {-1, 1.375}
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