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Simplifying 2x2 + 4x + 5 = x(2x + -1) Reorder the terms: 5 + 4x + 2x2 = x(2x + -1) Reorder the terms: 5 + 4x + 2x2 = x(-1 + 2x) 5 + 4x + 2x2 = (-1 * x + 2x * x) 5 + 4x + 2x2 = (-1x + 2x2) Add '-2x2' to each side of the equation. 5 + 4x + 2x2 + -2x2 = -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5 + 4x + 0 = -1x + 2x2 + -2x2 5 + 4x = -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5 + 4x = -1x + 0 5 + 4x = -1x Solving 5 + 4x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 4x + x = -1x + x Combine like terms: 4x + x = 5x 5 + 5x = -1x + x Combine like terms: -1x + x = 0 5 + 5x = 0 Add '-5' to each side of the equation. 5 + -5 + 5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 0 + -5 5x = 0 + -5 Combine like terms: 0 + -5 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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