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Simplifying 0 = 24x2 + -21x Reorder the terms: 0 = -21x + 24x2 Solving 0 = -21x + 24x2 Solving for variable 'x'. Remove the zero: 21x + -24x2 = -21x + 24x2 + 21x + -24x2 Reorder the terms: 21x + -24x2 = -21x + 21x + 24x2 + -24x2 Combine like terms: -21x + 21x = 0 21x + -24x2 = 0 + 24x2 + -24x2 21x + -24x2 = 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 21x + -24x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(7 + -8x) = 0 Ignore the factor 3.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 '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {0, 0.875}
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