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Simplifying 5x2 + 37 + 14 = (5x + 7)(x + -2) Reorder the terms: 37 + 14 + 5x2 = (5x + 7)(x + -2) Combine like terms: 37 + 14 = 51 51 + 5x2 = (5x + 7)(x + -2) Reorder the terms: 51 + 5x2 = (7 + 5x)(x + -2) Reorder the terms: 51 + 5x2 = (7 + 5x)(-2 + x) Multiply (7 + 5x) * (-2 + x) 51 + 5x2 = (7(-2 + x) + 5x * (-2 + x)) 51 + 5x2 = ((-2 * 7 + x * 7) + 5x * (-2 + x)) 51 + 5x2 = ((-14 + 7x) + 5x * (-2 + x)) 51 + 5x2 = (-14 + 7x + (-2 * 5x + x * 5x)) 51 + 5x2 = (-14 + 7x + (-10x + 5x2)) Combine like terms: 7x + -10x = -3x 51 + 5x2 = (-14 + -3x + 5x2) Add '-5x2' to each side of the equation. 51 + 5x2 + -5x2 = -14 + -3x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 51 + 0 = -14 + -3x + 5x2 + -5x2 51 = -14 + -3x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 51 = -14 + -3x + 0 51 = -14 + -3x Solving 51 = -14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 51 + 3x = -14 + -3x + 3x Combine like terms: -3x + 3x = 0 51 + 3x = -14 + 0 51 + 3x = -14 Add '-51' to each side of the equation. 51 + -51 + 3x = -14 + -51 Combine like terms: 51 + -51 = 0 0 + 3x = -14 + -51 3x = -14 + -51 Combine like terms: -14 + -51 = -65 3x = -65 Divide each side by '3'. x = -21.66666667 Simplifying x = -21.66666667
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