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Simplifying 4x(x + -7) + -1(2x + -3)(2x + 5) = 0 Reorder the terms: 4x(-7 + x) + -1(2x + -3)(2x + 5) = 0 (-7 * 4x + x * 4x) + -1(2x + -3)(2x + 5) = 0 (-28x + 4x2) + -1(2x + -3)(2x + 5) = 0 Reorder the terms: -28x + 4x2 + -1(-3 + 2x)(2x + 5) = 0 Reorder the terms: -28x + 4x2 + -1(-3 + 2x)(5 + 2x) = 0 Multiply (-3 + 2x) * (5 + 2x) -28x + 4x2 + -1(-3(5 + 2x) + 2x * (5 + 2x)) = 0 -28x + 4x2 + -1((5 * -3 + 2x * -3) + 2x * (5 + 2x)) = 0 -28x + 4x2 + -1((-15 + -6x) + 2x * (5 + 2x)) = 0 -28x + 4x2 + -1(-15 + -6x + (5 * 2x + 2x * 2x)) = 0 -28x + 4x2 + -1(-15 + -6x + (10x + 4x2)) = 0 Combine like terms: -6x + 10x = 4x -28x + 4x2 + -1(-15 + 4x + 4x2) = 0 -28x + 4x2 + (-15 * -1 + 4x * -1 + 4x2 * -1) = 0 -28x + 4x2 + (15 + -4x + -4x2) = 0 Reorder the terms: 15 + -28x + -4x + 4x2 + -4x2 = 0 Combine like terms: -28x + -4x = -32x 15 + -32x + 4x2 + -4x2 = 0 Combine like terms: 4x2 + -4x2 = 0 15 + -32x + 0 = 0 15 + -32x = 0 Solving 15 + -32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -32x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -32x = 0 + -15 -32x = 0 + -15 Combine like terms: 0 + -15 = -15 -32x = -15 Divide each side by '-32'. x = 0.46875 Simplifying x = 0.46875
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