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Simplifying 3(x2 + -4x + 4)(x + 5) = 3(x2 + 2x + 1)(x + -1) + 3 Reorder the terms: 3(4 + -4x + x2)(x + 5) = 3(x2 + 2x + 1)(x + -1) + 3 Reorder the terms: 3(4 + -4x + x2)(5 + x) = 3(x2 + 2x + 1)(x + -1) + 3 Multiply (4 + -4x + x2) * (5 + x) 3(4(5 + x) + -4x * (5 + x) + x2(5 + x)) = 3(x2 + 2x + 1)(x + -1) + 3 3((5 * 4 + x * 4) + -4x * (5 + x) + x2(5 + x)) = 3(x2 + 2x + 1)(x + -1) + 3 3((20 + 4x) + -4x * (5 + x) + x2(5 + x)) = 3(x2 + 2x + 1)(x + -1) + 3 3(20 + 4x + (5 * -4x + x * -4x) + x2(5 + x)) = 3(x2 + 2x + 1)(x + -1) + 3 3(20 + 4x + (-20x + -4x2) + x2(5 + x)) = 3(x2 + 2x + 1)(x + -1) + 3 3(20 + 4x + -20x + -4x2 + (5 * x2 + x * x2)) = 3(x2 + 2x + 1)(x + -1) + 3 3(20 + 4x + -20x + -4x2 + (5x2 + x3)) = 3(x2 + 2x + 1)(x + -1) + 3 Combine like terms: 4x + -20x = -16x 3(20 + -16x + -4x2 + 5x2 + x3) = 3(x2 + 2x + 1)(x + -1) + 3 Combine like terms: -4x2 + 5x2 = 1x2 3(20 + -16x + 1x2 + x3) = 3(x2 + 2x + 1)(x + -1) + 3 (20 * 3 + -16x * 3 + 1x2 * 3 + x3 * 3) = 3(x2 + 2x + 1)(x + -1) + 3 (60 + -48x + 3x2 + 3x3) = 3(x2 + 2x + 1)(x + -1) + 3 Reorder the terms: 60 + -48x + 3x2 + 3x3 = 3(1 + 2x + x2)(x + -1) + 3 Reorder the terms: 60 + -48x + 3x2 + 3x3 = 3(1 + 2x + x2)(-1 + x) + 3 Multiply (1 + 2x + x2) * (-1 + x) 60 + -48x + 3x2 + 3x3 = 3(1(-1 + x) + 2x * (-1 + x) + x2(-1 + x)) + 3 60 + -48x + 3x2 + 3x3 = 3((-1 * 1 + x * 1) + 2x * (-1 + x) + x2(-1 + x)) + 3 60 + -48x + 3x2 + 3x3 = 3((-1 + 1x) + 2x * (-1 + x) + x2(-1 + x)) + 3 60 + -48x + 3x2 + 3x3 = 3(-1 + 1x + (-1 * 2x + x * 2x) + x2(-1 + x)) + 3 60 + -48x + 3x2 + 3x3 = 3(-1 + 1x + (-2x + 2x2) + x2(-1 + x)) + 3 60 + -48x + 3x2 + 3x3 = 3(-1 + 1x + -2x + 2x2 + (-1 * x2 + x * x2)) + 3 60 + -48x + 3x2 + 3x3 = 3(-1 + 1x + -2x + 2x2 + (-1x2 + x3)) + 3 Combine like terms: 1x + -2x = -1x 60 + -48x + 3x2 + 3x3 = 3(-1 + -1x + 2x2 + -1x2 + x3) + 3 Combine like terms: 2x2 + -1x2 = 1x2 60 + -48x + 3x2 + 3x3 = 3(-1 + -1x + 1x2 + x3) + 3 60 + -48x + 3x2 + 3x3 = (-1 * 3 + -1x * 3 + 1x2 * 3 + x3 * 3) + 3 60 + -48x + 3x2 + 3x3 = (-3 + -3x + 3x2 + 3x3) + 3 Reorder the terms: 60 + -48x + 3x2 + 3x3 = -3 + 3 + -3x + 3x2 + 3x3 Combine like terms: -3 + 3 = 0 60 + -48x + 3x2 + 3x3 = 0 + -3x + 3x2 + 3x3 60 + -48x + 3x2 + 3x3 = -3x + 3x2 + 3x3 Add '-3x2' to each side of the equation. 60 + -48x + 3x2 + -3x2 + 3x3 = -3x + 3x2 + -3x2 + 3x3 Combine like terms: 3x2 + -3x2 = 0 60 + -48x + 0 + 3x3 = -3x + 3x2 + -3x2 + 3x3 60 + -48x + 3x3 = -3x + 3x2 + -3x2 + 3x3 Combine like terms: 3x2 + -3x2 = 0 60 + -48x + 3x3 = -3x + 0 + 3x3 60 + -48x + 3x3 = -3x + 3x3 Add '-3x3' to each side of the equation. 60 + -48x + 3x3 + -3x3 = -3x + 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 60 + -48x + 0 = -3x + 3x3 + -3x3 60 + -48x = -3x + 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 60 + -48x = -3x + 0 60 + -48x = -3x Solving 60 + -48x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 60 + -48x + 3x = -3x + 3x Combine like terms: -48x + 3x = -45x 60 + -45x = -3x + 3x Combine like terms: -3x + 3x = 0 60 + -45x = 0 Add '-60' to each side of the equation. 60 + -60 + -45x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -45x = 0 + -60 -45x = 0 + -60 Combine like terms: 0 + -60 = -60 -45x = -60 Divide each side by '-45'. x = 1.333333333 Simplifying x = 1.333333333
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