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Simplifying (2x + 10)(2x + -3) = 4x2 + -14 Reorder the terms: (10 + 2x)(2x + -3) = 4x2 + -14 Reorder the terms: (10 + 2x)(-3 + 2x) = 4x2 + -14 Multiply (10 + 2x) * (-3 + 2x) (10(-3 + 2x) + 2x * (-3 + 2x)) = 4x2 + -14 ((-3 * 10 + 2x * 10) + 2x * (-3 + 2x)) = 4x2 + -14 ((-30 + 20x) + 2x * (-3 + 2x)) = 4x2 + -14 (-30 + 20x + (-3 * 2x + 2x * 2x)) = 4x2 + -14 (-30 + 20x + (-6x + 4x2)) = 4x2 + -14 Combine like terms: 20x + -6x = 14x (-30 + 14x + 4x2) = 4x2 + -14 Reorder the terms: -30 + 14x + 4x2 = -14 + 4x2 Add '-4x2' to each side of the equation. -30 + 14x + 4x2 + -4x2 = -14 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -30 + 14x + 0 = -14 + 4x2 + -4x2 -30 + 14x = -14 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -30 + 14x = -14 + 0 -30 + 14x = -14 Solving -30 + 14x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 14x = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 14x = -14 + 30 14x = -14 + 30 Combine like terms: -14 + 30 = 16 14x = 16 Divide each side by '14'. x = 1.142857143 Simplifying x = 1.142857143
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