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Simplifying 5x2 + 19x + 18 = (5x + -9)(x + -2) Reorder the terms: 18 + 19x + 5x2 = (5x + -9)(x + -2) Reorder the terms: 18 + 19x + 5x2 = (-9 + 5x)(x + -2) Reorder the terms: 18 + 19x + 5x2 = (-9 + 5x)(-2 + x) Multiply (-9 + 5x) * (-2 + x) 18 + 19x + 5x2 = (-9(-2 + x) + 5x * (-2 + x)) 18 + 19x + 5x2 = ((-2 * -9 + x * -9) + 5x * (-2 + x)) 18 + 19x + 5x2 = ((18 + -9x) + 5x * (-2 + x)) 18 + 19x + 5x2 = (18 + -9x + (-2 * 5x + x * 5x)) 18 + 19x + 5x2 = (18 + -9x + (-10x + 5x2)) Combine like terms: -9x + -10x = -19x 18 + 19x + 5x2 = (18 + -19x + 5x2) Add '-18' to each side of the equation. 18 + 19x + -18 + 5x2 = 18 + -19x + -18 + 5x2 Reorder the terms: 18 + -18 + 19x + 5x2 = 18 + -19x + -18 + 5x2 Combine like terms: 18 + -18 = 0 0 + 19x + 5x2 = 18 + -19x + -18 + 5x2 19x + 5x2 = 18 + -19x + -18 + 5x2 Reorder the terms: 19x + 5x2 = 18 + -18 + -19x + 5x2 Combine like terms: 18 + -18 = 0 19x + 5x2 = 0 + -19x + 5x2 19x + 5x2 = -19x + 5x2 Add '-5x2' to each side of the equation. 19x + 5x2 + -5x2 = -19x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 19x + 0 = -19x + 5x2 + -5x2 19x = -19x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 19x = -19x + 0 19x = -19x Solving 19x = -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 19x + 19x = -19x + 19x Combine like terms: 19x + 19x = 38x 38x = -19x + 19x Combine like terms: -19x + 19x = 0 38x = 0 Divide each side by '38'. x = 0 Simplifying x = 0
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