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Simplifying 11(x + -2)(4x + 1) = 0 Reorder the terms: 11(-2 + x)(4x + 1) = 0 Reorder the terms: 11(-2 + x)(1 + 4x) = 0 Multiply (-2 + x) * (1 + 4x) 11(-2(1 + 4x) + x(1 + 4x)) = 0 11((1 * -2 + 4x * -2) + x(1 + 4x)) = 0 11((-2 + -8x) + x(1 + 4x)) = 0 11(-2 + -8x + (1 * x + 4x * x)) = 0 11(-2 + -8x + (1x + 4x2)) = 0 Combine like terms: -8x + 1x = -7x 11(-2 + -7x + 4x2) = 0 (-2 * 11 + -7x * 11 + 4x2 * 11) = 0 (-22 + -77x + 44x2) = 0 Solving -22 + -77x + 44x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '11'. 11(-2 + -7x + 4x2) = 0 Factor a trinomial. 11((-1 + -4x)(2 + -1x)) = 0 Ignore the factor 11.Subproblem 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.25, 2}
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