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Simplifying x(x + 10) = (x + 4)(x + 3) Reorder the terms: x(10 + x) = (x + 4)(x + 3) (10 * x + x * x) = (x + 4)(x + 3) (10x + x2) = (x + 4)(x + 3) Reorder the terms: 10x + x2 = (4 + x)(x + 3) Reorder the terms: 10x + x2 = (4 + x)(3 + x) Multiply (4 + x) * (3 + x) 10x + x2 = (4(3 + x) + x(3 + x)) 10x + x2 = ((3 * 4 + x * 4) + x(3 + x)) 10x + x2 = ((12 + 4x) + x(3 + x)) 10x + x2 = (12 + 4x + (3 * x + x * x)) 10x + x2 = (12 + 4x + (3x + x2)) Combine like terms: 4x + 3x = 7x 10x + x2 = (12 + 7x + x2) Add '-1x2' to each side of the equation. 10x + x2 + -1x2 = 12 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x + 0 = 12 + 7x + x2 + -1x2 10x = 12 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x = 12 + 7x + 0 10x = 12 + 7x Solving 10x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10x + -7x = 12 + 7x + -7x Combine like terms: 10x + -7x = 3x 3x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 3x = 12 + 0 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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