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Simplifying (90x2) + -1(35x2) + -1550x = 0 Remove parenthesis around (35x2) (90x2) + -1 * 35x2 + -1550x = 0 Multiply -1 * 35 (90x2) + -35x2 + -1550x = 0 Reorder the terms: -1550x + (90x2) + -35x2 = 0 Combine like terms: (90x2) + -35x2 = 55x2 -1550x + 55x2 = 0 Solving -1550x + 55x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-310 + 11x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-310 + 11x)' equal to zero and attempt to solve: Simplifying -310 + 11x = 0 Solving -310 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '310' to each side of the equation. -310 + 310 + 11x = 0 + 310 Combine like terms: -310 + 310 = 0 0 + 11x = 0 + 310 11x = 0 + 310 Combine like terms: 0 + 310 = 310 11x = 310 Divide each side by '11'. x = 28.18181818 Simplifying x = 28.18181818Solution
x = {0, 28.18181818}
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