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Simplifying 0 = 4x2 + -25x + 36 Reorder the terms: 0 = 36 + -25x + 4x2 Solving 0 = 36 + -25x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -36 = -36 -36 + 25x + -4x2 = 36 + -25x + 4x2 + -36 + 25x + -4x2 Reorder the terms: -36 + 25x + -4x2 = 36 + -36 + -25x + 25x + 4x2 + -4x2 Combine like terms: 36 + -36 = 0 -36 + 25x + -4x2 = 0 + -25x + 25x + 4x2 + -4x2 -36 + 25x + -4x2 = -25x + 25x + 4x2 + -4x2 Combine like terms: -25x + 25x = 0 -36 + 25x + -4x2 = 0 + 4x2 + -4x2 -36 + 25x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -36 + 25x + -4x2 = 0 Factor a trinomial. (-4 + x)(9 + -4x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {4, 2.25}
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