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Simplifying (2x + -5)(2x + -3) = 4x2 + 3x Reorder the terms: (-5 + 2x)(2x + -3) = 4x2 + 3x Reorder the terms: (-5 + 2x)(-3 + 2x) = 4x2 + 3x Multiply (-5 + 2x) * (-3 + 2x) (-5(-3 + 2x) + 2x * (-3 + 2x)) = 4x2 + 3x ((-3 * -5 + 2x * -5) + 2x * (-3 + 2x)) = 4x2 + 3x ((15 + -10x) + 2x * (-3 + 2x)) = 4x2 + 3x (15 + -10x + (-3 * 2x + 2x * 2x)) = 4x2 + 3x (15 + -10x + (-6x + 4x2)) = 4x2 + 3x Combine like terms: -10x + -6x = -16x (15 + -16x + 4x2) = 4x2 + 3x Reorder the terms: 15 + -16x + 4x2 = 3x + 4x2 Add '-4x2' to each side of the equation. 15 + -16x + 4x2 + -4x2 = 3x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 15 + -16x + 0 = 3x + 4x2 + -4x2 15 + -16x = 3x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 15 + -16x = 3x + 0 15 + -16x = 3x Solving 15 + -16x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + -16x + -3x = 3x + -3x Combine like terms: -16x + -3x = -19x 15 + -19x = 3x + -3x Combine like terms: 3x + -3x = 0 15 + -19x = 0 Add '-15' to each side of the equation. 15 + -15 + -19x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -19x = 0 + -15 -19x = 0 + -15 Combine like terms: 0 + -15 = -15 -19x = -15 Divide each side by '-19'. x = 0.7894736842 Simplifying x = 0.7894736842
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