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Simplifying (6x + 4)(6x + -4) = 9x(4x + -32) Reorder the terms: (4 + 6x)(6x + -4) = 9x(4x + -32) Reorder the terms: (4 + 6x)(-4 + 6x) = 9x(4x + -32) Multiply (4 + 6x) * (-4 + 6x) (4(-4 + 6x) + 6x * (-4 + 6x)) = 9x(4x + -32) ((-4 * 4 + 6x * 4) + 6x * (-4 + 6x)) = 9x(4x + -32) ((-16 + 24x) + 6x * (-4 + 6x)) = 9x(4x + -32) (-16 + 24x + (-4 * 6x + 6x * 6x)) = 9x(4x + -32) (-16 + 24x + (-24x + 36x2)) = 9x(4x + -32) Combine like terms: 24x + -24x = 0 (-16 + 0 + 36x2) = 9x(4x + -32) (-16 + 36x2) = 9x(4x + -32) Reorder the terms: -16 + 36x2 = 9x(-32 + 4x) -16 + 36x2 = (-32 * 9x + 4x * 9x) -16 + 36x2 = (-288x + 36x2) Add '-36x2' to each side of the equation. -16 + 36x2 + -36x2 = -288x + 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 -16 + 0 = -288x + 36x2 + -36x2 -16 = -288x + 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 -16 = -288x + 0 -16 = -288x Solving -16 = -288x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '288x' to each side of the equation. -16 + 288x = -288x + 288x Combine like terms: -288x + 288x = 0 -16 + 288x = 0 Add '16' to each side of the equation. -16 + 16 + 288x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 288x = 0 + 16 288x = 0 + 16 Combine like terms: 0 + 16 = 16 288x = 16 Divide each side by '288'. x = 0.05555555556 Simplifying x = 0.05555555556
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