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Simplifying x * x + -3x + 2 + -1(x + -3)(x + -4) + -5 = 0 Multiply x * x x2 + -3x + 2 + -1(x + -3)(x + -4) + -5 = 0 Reorder the terms: x2 + -3x + 2 + -1(-3 + x)(x + -4) + -5 = 0 Reorder the terms: x2 + -3x + 2 + -1(-3 + x)(-4 + x) + -5 = 0 Multiply (-3 + x) * (-4 + x) x2 + -3x + 2 + -1(-3(-4 + x) + x(-4 + x)) + -5 = 0 x2 + -3x + 2 + -1((-4 * -3 + x * -3) + x(-4 + x)) + -5 = 0 x2 + -3x + 2 + -1((12 + -3x) + x(-4 + x)) + -5 = 0 x2 + -3x + 2 + -1(12 + -3x + (-4 * x + x * x)) + -5 = 0 x2 + -3x + 2 + -1(12 + -3x + (-4x + x2)) + -5 = 0 Combine like terms: -3x + -4x = -7x x2 + -3x + 2 + -1(12 + -7x + x2) + -5 = 0 x2 + -3x + 2 + (12 * -1 + -7x * -1 + x2 * -1) + -5 = 0 x2 + -3x + 2 + (-12 + 7x + -1x2) + -5 = 0 Reorder the terms: 2 + -12 + -5 + -3x + 7x + x2 + -1x2 = 0 Combine like terms: 2 + -12 = -10 -10 + -5 + -3x + 7x + x2 + -1x2 = 0 Combine like terms: -10 + -5 = -15 -15 + -3x + 7x + x2 + -1x2 = 0 Combine like terms: -3x + 7x = 4x -15 + 4x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -15 + 4x + 0 = 0 -15 + 4x = 0 Solving -15 + 4x = 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 + 4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 0 + 15 4x = 0 + 15 Combine like terms: 0 + 15 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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