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Simplifying x(4x + -9) = (4x + 9)(x + -6) Reorder the terms: x(-9 + 4x) = (4x + 9)(x + -6) (-9 * x + 4x * x) = (4x + 9)(x + -6) (-9x + 4x2) = (4x + 9)(x + -6) Reorder the terms: -9x + 4x2 = (9 + 4x)(x + -6) Reorder the terms: -9x + 4x2 = (9 + 4x)(-6 + x) Multiply (9 + 4x) * (-6 + x) -9x + 4x2 = (9(-6 + x) + 4x * (-6 + x)) -9x + 4x2 = ((-6 * 9 + x * 9) + 4x * (-6 + x)) -9x + 4x2 = ((-54 + 9x) + 4x * (-6 + x)) -9x + 4x2 = (-54 + 9x + (-6 * 4x + x * 4x)) -9x + 4x2 = (-54 + 9x + (-24x + 4x2)) Combine like terms: 9x + -24x = -15x -9x + 4x2 = (-54 + -15x + 4x2) Add '-4x2' to each side of the equation. -9x + 4x2 + -4x2 = -54 + -15x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x + 0 = -54 + -15x + 4x2 + -4x2 -9x = -54 + -15x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x = -54 + -15x + 0 -9x = -54 + -15x Solving -9x = -54 + -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. -9x + 15x = -54 + -15x + 15x Combine like terms: -9x + 15x = 6x 6x = -54 + -15x + 15x Combine like terms: -15x + 15x = 0 6x = -54 + 0 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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