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Simplifying (5x + -7)(2x + 1) + -10x(x + -4) = 0 Reorder the terms: (-7 + 5x)(2x + 1) + -10x(x + -4) = 0 Reorder the terms: (-7 + 5x)(1 + 2x) + -10x(x + -4) = 0 Multiply (-7 + 5x) * (1 + 2x) (-7(1 + 2x) + 5x * (1 + 2x)) + -10x(x + -4) = 0 ((1 * -7 + 2x * -7) + 5x * (1 + 2x)) + -10x(x + -4) = 0 ((-7 + -14x) + 5x * (1 + 2x)) + -10x(x + -4) = 0 (-7 + -14x + (1 * 5x + 2x * 5x)) + -10x(x + -4) = 0 (-7 + -14x + (5x + 10x2)) + -10x(x + -4) = 0 Combine like terms: -14x + 5x = -9x (-7 + -9x + 10x2) + -10x(x + -4) = 0 Reorder the terms: -7 + -9x + 10x2 + -10x(-4 + x) = 0 -7 + -9x + 10x2 + (-4 * -10x + x * -10x) = 0 -7 + -9x + 10x2 + (40x + -10x2) = 0 Reorder the terms: -7 + -9x + 40x + 10x2 + -10x2 = 0 Combine like terms: -9x + 40x = 31x -7 + 31x + 10x2 + -10x2 = 0 Combine like terms: 10x2 + -10x2 = 0 -7 + 31x + 0 = 0 -7 + 31x = 0 Solving -7 + 31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 31x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 31x = 0 + 7 31x = 0 + 7 Combine like terms: 0 + 7 = 7 31x = 7 Divide each side by '31'. x = 0.2258064516 Simplifying x = 0.2258064516
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