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Simplifying 7x2 + 12 = (7x + 1)(x + -5) Reorder the terms: 12 + 7x2 = (7x + 1)(x + -5) Reorder the terms: 12 + 7x2 = (1 + 7x)(x + -5) Reorder the terms: 12 + 7x2 = (1 + 7x)(-5 + x) Multiply (1 + 7x) * (-5 + x) 12 + 7x2 = (1(-5 + x) + 7x * (-5 + x)) 12 + 7x2 = ((-5 * 1 + x * 1) + 7x * (-5 + x)) 12 + 7x2 = ((-5 + 1x) + 7x * (-5 + x)) 12 + 7x2 = (-5 + 1x + (-5 * 7x + x * 7x)) 12 + 7x2 = (-5 + 1x + (-35x + 7x2)) Combine like terms: 1x + -35x = -34x 12 + 7x2 = (-5 + -34x + 7x2) Add '-7x2' to each side of the equation. 12 + 7x2 + -7x2 = -5 + -34x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 12 + 0 = -5 + -34x + 7x2 + -7x2 12 = -5 + -34x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 12 = -5 + -34x + 0 12 = -5 + -34x Solving 12 = -5 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 12 + 34x = -5 + -34x + 34x Combine like terms: -34x + 34x = 0 12 + 34x = -5 + 0 12 + 34x = -5 Add '-12' to each side of the equation. 12 + -12 + 34x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 34x = -5 + -12 34x = -5 + -12 Combine like terms: -5 + -12 = -17 34x = -17 Divide each side by '34'. x = -0.5 Simplifying x = -0.5
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