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Simplifying -7x2 + 14x + 16x = 0 Reorder the terms: 14x + 16x + -7x2 = 0 Combine like terms: 14x + 16x = 30x 30x + -7x2 = 0 Solving 30x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(30 + -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 '(30 + -7x)' equal to zero and attempt to solve: Simplifying 30 + -7x = 0 Solving 30 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 0 + -30 -7x = 0 + -30 Combine like terms: 0 + -30 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286Solution
x = {0, 4.285714286}
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