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Simplifying 0 = 42x2 + -80x Reorder the terms: 0 = -80x + 42x2 Solving 0 = -80x + 42x2 Solving for variable 'x'. Remove the zero: 80x + -42x2 = -80x + 42x2 + 80x + -42x2 Reorder the terms: 80x + -42x2 = -80x + 80x + 42x2 + -42x2 Combine like terms: -80x + 80x = 0 80x + -42x2 = 0 + 42x2 + -42x2 80x + -42x2 = 42x2 + -42x2 Combine like terms: 42x2 + -42x2 = 0 80x + -42x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(40 + -21x) = 0 Ignore the factor 2.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 '(40 + -21x)' equal to zero and attempt to solve: Simplifying 40 + -21x = 0 Solving 40 + -21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -21x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -21x = 0 + -40 -21x = 0 + -40 Combine like terms: 0 + -40 = -40 -21x = -40 Divide each side by '-21'. x = 1.904761905 Simplifying x = 1.904761905Solution
x = {0, 1.904761905}
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