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