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Simplifying x(x + 10) + 216 = (x + 4)(x + 10 + 4) Reorder the terms: x(10 + x) + 216 = (x + 4)(x + 10 + 4) (10 * x + x * x) + 216 = (x + 4)(x + 10 + 4) (10x + x2) + 216 = (x + 4)(x + 10 + 4) Reorder the terms: 216 + 10x + x2 = (x + 4)(x + 10 + 4) Reorder the terms: 216 + 10x + x2 = (4 + x)(x + 10 + 4) Reorder the terms: 216 + 10x + x2 = (4 + x)(10 + 4 + x) Combine like terms: 10 + 4 = 14 216 + 10x + x2 = (4 + x)(14 + x) Multiply (4 + x) * (14 + x) 216 + 10x + x2 = (4(14 + x) + x(14 + x)) 216 + 10x + x2 = ((14 * 4 + x * 4) + x(14 + x)) 216 + 10x + x2 = ((56 + 4x) + x(14 + x)) 216 + 10x + x2 = (56 + 4x + (14 * x + x * x)) 216 + 10x + x2 = (56 + 4x + (14x + x2)) Combine like terms: 4x + 14x = 18x 216 + 10x + x2 = (56 + 18x + x2) Add '-1x2' to each side of the equation. 216 + 10x + x2 + -1x2 = 56 + 18x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 216 + 10x + 0 = 56 + 18x + x2 + -1x2 216 + 10x = 56 + 18x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 216 + 10x = 56 + 18x + 0 216 + 10x = 56 + 18x Solving 216 + 10x = 56 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 216 + 10x + -18x = 56 + 18x + -18x Combine like terms: 10x + -18x = -8x 216 + -8x = 56 + 18x + -18x Combine like terms: 18x + -18x = 0 216 + -8x = 56 + 0 216 + -8x = 56 Add '-216' to each side of the equation. 216 + -216 + -8x = 56 + -216 Combine like terms: 216 + -216 = 0 0 + -8x = 56 + -216 -8x = 56 + -216 Combine like terms: 56 + -216 = -160 -8x = -160 Divide each side by '-8'. x = 20 Simplifying x = 20
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