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Simplifying 7x + x(x + -7) = (2x + 5)(5 + -2x) Reorder the terms: 7x + x(-7 + x) = (2x + 5)(5 + -2x) 7x + (-7 * x + x * x) = (2x + 5)(5 + -2x) 7x + (-7x + x2) = (2x + 5)(5 + -2x) Combine like terms: 7x + -7x = 0 0 + x2 = (2x + 5)(5 + -2x) x2 = (2x + 5)(5 + -2x) Reorder the terms: x2 = (5 + 2x)(5 + -2x) Multiply (5 + 2x) * (5 + -2x) x2 = (5(5 + -2x) + 2x * (5 + -2x)) x2 = ((5 * 5 + -2x * 5) + 2x * (5 + -2x)) x2 = ((25 + -10x) + 2x * (5 + -2x)) x2 = (25 + -10x + (5 * 2x + -2x * 2x)) x2 = (25 + -10x + (10x + -4x2)) Combine like terms: -10x + 10x = 0 x2 = (25 + 0 + -4x2) x2 = (25 + -4x2) Solving x2 = 25 + -4x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x2' to each side of the equation. x2 + 4x2 = 25 + -4x2 + 4x2 Combine like terms: x2 + 4x2 = 5x2 5x2 = 25 + -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 5x2 = 25 + 0 5x2 = 25 Divide each side by '5'. x2 = 5 Simplifying x2 = 5 Take the square root of each side: x = {-2.236067978, 2.236067978}
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