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Simplifying (3x + 5)(x + -10) + -3x(x + -10) = 0 Reorder the terms: (5 + 3x)(x + -10) + -3x(x + -10) = 0 Reorder the terms: (5 + 3x)(-10 + x) + -3x(x + -10) = 0 Multiply (5 + 3x) * (-10 + x) (5(-10 + x) + 3x * (-10 + x)) + -3x(x + -10) = 0 ((-10 * 5 + x * 5) + 3x * (-10 + x)) + -3x(x + -10) = 0 ((-50 + 5x) + 3x * (-10 + x)) + -3x(x + -10) = 0 (-50 + 5x + (-10 * 3x + x * 3x)) + -3x(x + -10) = 0 (-50 + 5x + (-30x + 3x2)) + -3x(x + -10) = 0 Combine like terms: 5x + -30x = -25x (-50 + -25x + 3x2) + -3x(x + -10) = 0 Reorder the terms: -50 + -25x + 3x2 + -3x(-10 + x) = 0 -50 + -25x + 3x2 + (-10 * -3x + x * -3x) = 0 -50 + -25x + 3x2 + (30x + -3x2) = 0 Reorder the terms: -50 + -25x + 30x + 3x2 + -3x2 = 0 Combine like terms: -25x + 30x = 5x -50 + 5x + 3x2 + -3x2 = 0 Combine like terms: 3x2 + -3x2 = 0 -50 + 5x + 0 = 0 -50 + 5x = 0 Solving -50 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 5x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = 0 + 50 5x = 0 + 50 Combine like terms: 0 + 50 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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