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Simplifying 0 = 302x2 + 28x Reorder the terms: 0 = 28x + 302x2 Solving 0 = 28x + 302x2 Solving for variable 'x'. Remove the zero: -28x + -302x2 = 28x + 302x2 + -28x + -302x2 Reorder the terms: -28x + -302x2 = 28x + -28x + 302x2 + -302x2 Combine like terms: 28x + -28x = 0 -28x + -302x2 = 0 + 302x2 + -302x2 -28x + -302x2 = 302x2 + -302x2 Combine like terms: 302x2 + -302x2 = 0 -28x + -302x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(14 + 151x) = 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 '(14 + 151x)' equal to zero and attempt to solve: Simplifying 14 + 151x = 0 Solving 14 + 151x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 151x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 151x = 0 + -14 151x = 0 + -14 Combine like terms: 0 + -14 = -14 151x = -14 Divide each side by '151'. x = -0.09271523179 Simplifying x = -0.09271523179Solution
x = {0, -0.09271523179}
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