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Simplifying (4x + -1)(x + -4) = 0 Reorder the terms: (-1 + 4x)(x + -4) = 0 Reorder the terms: (-1 + 4x)(-4 + x) = 0 Multiply (-1 + 4x) * (-4 + x) (-1(-4 + x) + 4x * (-4 + x)) = 0 ((-4 * -1 + x * -1) + 4x * (-4 + x)) = 0 ((4 + -1x) + 4x * (-4 + x)) = 0 (4 + -1x + (-4 * 4x + x * 4x)) = 0 (4 + -1x + (-16x + 4x2)) = 0 Combine like terms: -1x + -16x = -17x (4 + -17x + 4x2) = 0 Solving 4 + -17x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -4x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.25, 4}
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