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Simplifying 5(x + -5)(x + 5) + -25 = 55 Reorder the terms: 5(-5 + x)(x + 5) + -25 = 55 Reorder the terms: 5(-5 + x)(5 + x) + -25 = 55 Multiply (-5 + x) * (5 + x) 5(-5(5 + x) + x(5 + x)) + -25 = 55 5((5 * -5 + x * -5) + x(5 + x)) + -25 = 55 5((-25 + -5x) + x(5 + x)) + -25 = 55 5(-25 + -5x + (5 * x + x * x)) + -25 = 55 5(-25 + -5x + (5x + x2)) + -25 = 55 Combine like terms: -5x + 5x = 0 5(-25 + 0 + x2) + -25 = 55 5(-25 + x2) + -25 = 55 (-25 * 5 + x2 * 5) + -25 = 55 (-125 + 5x2) + -25 = 55 Reorder the terms: -125 + -25 + 5x2 = 55 Combine like terms: -125 + -25 = -150 -150 + 5x2 = 55 Solving -150 + 5x2 = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 150 + 5x2 = 55 + 150 Combine like terms: -150 + 150 = 0 0 + 5x2 = 55 + 150 5x2 = 55 + 150 Combine like terms: 55 + 150 = 205 5x2 = 205 Divide each side by '5'. x2 = 41 Simplifying x2 = 41 Take the square root of each side: x = {-6.403124237, 6.403124237}
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