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Simplifying 16x2 + -24x + 9 = 16 Reorder the terms: 9 + -24x + 16x2 = 16 Solving 9 + -24x + 16x2 = 16 Solving for variable 'x'. Reorder the terms: 9 + -16 + -24x + 16x2 = 16 + -16 Combine like terms: 9 + -16 = -7 -7 + -24x + 16x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -7 + -24x + 16x2 = 0 Factor a trinomial. (-1 + -4x)(7 + -4x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
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 = 1.75Solution
x = {-0.25, 1.75}
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