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Simplifying 16x(x + 1) = 21 Reorder the terms: 16x(1 + x) = 21 (1 * 16x + x * 16x) = 21 (16x + 16x2) = 21 Solving 16x + 16x2 = 21 Solving for variable 'x'. Reorder the terms: -21 + 16x + 16x2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 16x + 16x2 = 0 Factor a trinomial. (-7 + -4x)(3 + -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 '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-1.75, 0.75}
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