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Simplifying x(16x + 8) = 35 Reorder the terms: x(8 + 16x) = 35 (8 * x + 16x * x) = 35 (8x + 16x2) = 35 Solving 8x + 16x2 = 35 Solving for variable 'x'. Reorder the terms: -35 + 8x + 16x2 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + 8x + 16x2 = 0 Factor a trinomial. (-7 + -4x)(5 + -4x) = 0Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 2
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 = 1.25Solution
x = {-1.75, 1.25}
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