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Simplifying (2x + -5)(x + -5) = 2x2 + -95 Reorder the terms: (-5 + 2x)(x + -5) = 2x2 + -95 Reorder the terms: (-5 + 2x)(-5 + x) = 2x2 + -95 Multiply (-5 + 2x) * (-5 + x) (-5(-5 + x) + 2x * (-5 + x)) = 2x2 + -95 ((-5 * -5 + x * -5) + 2x * (-5 + x)) = 2x2 + -95 ((25 + -5x) + 2x * (-5 + x)) = 2x2 + -95 (25 + -5x + (-5 * 2x + x * 2x)) = 2x2 + -95 (25 + -5x + (-10x + 2x2)) = 2x2 + -95 Combine like terms: -5x + -10x = -15x (25 + -15x + 2x2) = 2x2 + -95 Reorder the terms: 25 + -15x + 2x2 = -95 + 2x2 Add '-2x2' to each side of the equation. 25 + -15x + 2x2 + -2x2 = -95 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 25 + -15x + 0 = -95 + 2x2 + -2x2 25 + -15x = -95 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 25 + -15x = -95 + 0 25 + -15x = -95 Solving 25 + -15x = -95 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 + -15x = -95 + -25 Combine like terms: 25 + -25 = 0 0 + -15x = -95 + -25 -15x = -95 + -25 Combine like terms: -95 + -25 = -120 -15x = -120 Divide each side by '-15'. x = 8 Simplifying x = 8
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