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Simplifying (2x + -5)(x + 5) + -2x * x = 75 Reorder the terms: (-5 + 2x)(x + 5) + -2x * x = 75 Reorder the terms: (-5 + 2x)(5 + x) + -2x * x = 75 Multiply (-5 + 2x) * (5 + x) (-5(5 + x) + 2x * (5 + x)) + -2x * x = 75 ((5 * -5 + x * -5) + 2x * (5 + x)) + -2x * x = 75 ((-25 + -5x) + 2x * (5 + x)) + -2x * x = 75 (-25 + -5x + (5 * 2x + x * 2x)) + -2x * x = 75 (-25 + -5x + (10x + 2x2)) + -2x * x = 75 Combine like terms: -5x + 10x = 5x (-25 + 5x + 2x2) + -2x * x = 75 Multiply x * x -25 + 5x + 2x2 + -2x2 = 75 Combine like terms: 2x2 + -2x2 = 0 -25 + 5x + 0 = 75 -25 + 5x = 75 Solving -25 + 5x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 5x = 75 + 25 Combine like terms: -25 + 25 = 0 0 + 5x = 75 + 25 5x = 75 + 25 Combine like terms: 75 + 25 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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