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Simplifying x(-4x + -11) = -3 Reorder the terms: x(-11 + -4x) = -3 (-11 * x + -4x * x) = -3 (-11x + -4x2) = -3 Solving -11x + -4x2 = -3 Solving for variable 'x'. Reorder the terms: 3 + -11x + -4x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -11x + -4x2 = 0 Factor a trinomial. (1 + -4x)(3 + x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0.25, -3}
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