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Simplifying 9x2 + -424x + 3600 = 0 Reorder the terms: 3600 + -424x + 9x2 = 0 Solving 3600 + -424x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (100 + -9x)(36 + -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 '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {11.11111111, 36}
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