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Simplifying (16x + 9)(4x + -9) = 36x + -162 Reorder the terms: (9 + 16x)(4x + -9) = 36x + -162 Reorder the terms: (9 + 16x)(-9 + 4x) = 36x + -162 Multiply (9 + 16x) * (-9 + 4x) (9(-9 + 4x) + 16x * (-9 + 4x)) = 36x + -162 ((-9 * 9 + 4x * 9) + 16x * (-9 + 4x)) = 36x + -162 ((-81 + 36x) + 16x * (-9 + 4x)) = 36x + -162 (-81 + 36x + (-9 * 16x + 4x * 16x)) = 36x + -162 (-81 + 36x + (-144x + 64x2)) = 36x + -162 Combine like terms: 36x + -144x = -108x (-81 + -108x + 64x2) = 36x + -162 Reorder the terms: -81 + -108x + 64x2 = -162 + 36x Solving -81 + -108x + 64x2 = -162 + 36x Solving for variable 'x'. Reorder the terms: -81 + 162 + -108x + -36x + 64x2 = -162 + 36x + 162 + -36x Combine like terms: -81 + 162 = 81 81 + -108x + -36x + 64x2 = -162 + 36x + 162 + -36x Combine like terms: -108x + -36x = -144x 81 + -144x + 64x2 = -162 + 36x + 162 + -36x Reorder the terms: 81 + -144x + 64x2 = -162 + 162 + 36x + -36x Combine like terms: -162 + 162 = 0 81 + -144x + 64x2 = 0 + 36x + -36x 81 + -144x + 64x2 = 36x + -36x Combine like terms: 36x + -36x = 0 81 + -144x + 64x2 = 0 Factor a trinomial. (9 + -8x)(9 + -8x) = 0Subproblem 1
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {1.125, 1.125}
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