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Simplifying x(4x + -5) = (4x + 1)(x + -4) Reorder the terms: x(-5 + 4x) = (4x + 1)(x + -4) (-5 * x + 4x * x) = (4x + 1)(x + -4) (-5x + 4x2) = (4x + 1)(x + -4) Reorder the terms: -5x + 4x2 = (1 + 4x)(x + -4) Reorder the terms: -5x + 4x2 = (1 + 4x)(-4 + x) Multiply (1 + 4x) * (-4 + x) -5x + 4x2 = (1(-4 + x) + 4x * (-4 + x)) -5x + 4x2 = ((-4 * 1 + x * 1) + 4x * (-4 + x)) -5x + 4x2 = ((-4 + 1x) + 4x * (-4 + x)) -5x + 4x2 = (-4 + 1x + (-4 * 4x + x * 4x)) -5x + 4x2 = (-4 + 1x + (-16x + 4x2)) Combine like terms: 1x + -16x = -15x -5x + 4x2 = (-4 + -15x + 4x2) Add '-4x2' to each side of the equation. -5x + 4x2 + -4x2 = -4 + -15x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5x + 0 = -4 + -15x + 4x2 + -4x2 -5x = -4 + -15x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5x = -4 + -15x + 0 -5x = -4 + -15x Solving -5x = -4 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -5x + 15x = -4 + -15x + 15x Combine like terms: -5x + 15x = 10x 10x = -4 + -15x + 15x Combine like terms: -15x + 15x = 0 10x = -4 + 0 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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