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Simplifying 9x2 + 64x + -400 = 0 Reorder the terms: -400 + 64x + 9x2 = 0 Solving -400 + 64x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-100 + -9x)(4 + -1x) = 0Subproblem 1
Set the factor '(-100 + -9x)' equal to zero and attempt to solve: Simplifying -100 + -9x = 0 Solving -100 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -9x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -9x = 0 + 100 -9x = 0 + 100 Combine like terms: 0 + 100 = 100 -9x = 100 Divide each side by '-9'. x = -11.11111111 Simplifying x = -11.11111111Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-11.11111111, 4}
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