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Simplifying 4x(x) = (4x + -15)(x + -6) Multiply x * x 4x2 = (4x + -15)(x + -6) Reorder the terms: 4x2 = (-15 + 4x)(x + -6) Reorder the terms: 4x2 = (-15 + 4x)(-6 + x) Multiply (-15 + 4x) * (-6 + x) 4x2 = (-15(-6 + x) + 4x * (-6 + x)) 4x2 = ((-6 * -15 + x * -15) + 4x * (-6 + x)) 4x2 = ((90 + -15x) + 4x * (-6 + x)) 4x2 = (90 + -15x + (-6 * 4x + x * 4x)) 4x2 = (90 + -15x + (-24x + 4x2)) Combine like terms: -15x + -24x = -39x 4x2 = (90 + -39x + 4x2) Add '-4x2' to each side of the equation. 4x2 + -4x2 = 90 + -39x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 90 + -39x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 90 + -39x + 0 0 = 90 + -39x Solving 0 = 90 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. 0 + 39x = 90 + -39x + 39x Remove the zero: 39x = 90 + -39x + 39x Combine like terms: -39x + 39x = 0 39x = 90 + 0 39x = 90 Divide each side by '39'. x = 2.307692308 Simplifying x = 2.307692308
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