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Simplifying x(2x + -15) + 10 = 3(14 + -5x) Reorder the terms: x(-15 + 2x) + 10 = 3(14 + -5x) (-15 * x + 2x * x) + 10 = 3(14 + -5x) (-15x + 2x2) + 10 = 3(14 + -5x) Reorder the terms: 10 + -15x + 2x2 = 3(14 + -5x) 10 + -15x + 2x2 = (14 * 3 + -5x * 3) 10 + -15x + 2x2 = (42 + -15x) Add '15x' to each side of the equation. 10 + -15x + 15x + 2x2 = 42 + -15x + 15x Combine like terms: -15x + 15x = 0 10 + 0 + 2x2 = 42 + -15x + 15x 10 + 2x2 = 42 + -15x + 15x Combine like terms: -15x + 15x = 0 10 + 2x2 = 42 + 0 10 + 2x2 = 42 Solving 10 + 2x2 = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2x2 = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 2x2 = 42 + -10 2x2 = 42 + -10 Combine like terms: 42 + -10 = 32 2x2 = 32 Divide each side by '2'. x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}
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