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Simplifying 3x2 + -10x2 + 24x = 0 Reorder the terms: 24x + 3x2 + -10x2 = 0 Combine like terms: 3x2 + -10x2 = -7x2 24x + -7x2 = 0 Solving 24x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(24 + -7x) = 0Subproblem 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 '(24 + -7x)' equal to zero and attempt to solve: Simplifying 24 + -7x = 0 Solving 24 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -7x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 0 + -24 -7x = 0 + -24 Combine like terms: 0 + -24 = -24 -7x = -24 Divide each side by '-7'. x = 3.428571429 Simplifying x = 3.428571429Solution
x = {0, 3.428571429}
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