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Simplifying 4x(8x + 9) = 5 Reorder the terms: 4x(9 + 8x) = 5 (9 * 4x + 8x * 4x) = 5 (36x + 32x2) = 5 Solving 36x + 32x2 = 5 Solving for variable 'x'. Reorder the terms: -5 + 36x + 32x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 36x + 32x2 = 0 Factor a trinomial. (-5 + -4x)(1 + -8x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125Solution
x = {-1.25, 0.125}
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