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Simplifying (x + -3)(x + -4) = x2 + 4 Reorder the terms: (-3 + x)(x + -4) = x2 + 4 Reorder the terms: (-3 + x)(-4 + x) = x2 + 4 Multiply (-3 + x) * (-4 + x) (-3(-4 + x) + x(-4 + x)) = x2 + 4 ((-4 * -3 + x * -3) + x(-4 + x)) = x2 + 4 ((12 + -3x) + x(-4 + x)) = x2 + 4 (12 + -3x + (-4 * x + x * x)) = x2 + 4 (12 + -3x + (-4x + x2)) = x2 + 4 Combine like terms: -3x + -4x = -7x (12 + -7x + x2) = x2 + 4 Reorder the terms: 12 + -7x + x2 = 4 + x2 Add '-1x2' to each side of the equation. 12 + -7x + x2 + -1x2 = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12 + -7x + 0 = 4 + x2 + -1x2 12 + -7x = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12 + -7x = 4 + 0 12 + -7x = 4 Solving 12 + -7x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 4 + -12 -7x = 4 + -12 Combine like terms: 4 + -12 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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