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Simplifying (4x + -6)(4x + -6) = 16x2 Reorder the terms: (-6 + 4x)(4x + -6) = 16x2 Reorder the terms: (-6 + 4x)(-6 + 4x) = 16x2 Multiply (-6 + 4x) * (-6 + 4x) (-6(-6 + 4x) + 4x * (-6 + 4x)) = 16x2 ((-6 * -6 + 4x * -6) + 4x * (-6 + 4x)) = 16x2 ((36 + -24x) + 4x * (-6 + 4x)) = 16x2 (36 + -24x + (-6 * 4x + 4x * 4x)) = 16x2 (36 + -24x + (-24x + 16x2)) = 16x2 Combine like terms: -24x + -24x = -48x (36 + -48x + 16x2) = 16x2 Add '-16x2' to each side of the equation. 36 + -48x + 16x2 + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 36 + -48x + 0 = 16x2 + -16x2 36 + -48x = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 36 + -48x = 0 Solving 36 + -48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -48x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -48x = 0 + -36 -48x = 0 + -36 Combine like terms: 0 + -36 = -36 -48x = -36 Divide each side by '-48'. x = 0.75 Simplifying x = 0.75
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