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Simplifying 3 = -7X2 + 3X + 3 Reorder the terms: 3 = 3 + 3X + -7X2 Add '-3' to each side of the equation. 3 + -3 = 3 + 3X + -3 + -7X2 Combine like terms: 3 + -3 = 0 0 = 3 + 3X + -3 + -7X2 Reorder the terms: 0 = 3 + -3 + 3X + -7X2 Combine like terms: 3 + -3 = 0 0 = 0 + 3X + -7X2 0 = 3X + -7X2 Solving 0 = 3X + -7X2 Solving for variable 'X'. Remove the zero: -3X + 7X2 = 3X + -7X2 + -3X + 7X2 Reorder the terms: -3X + 7X2 = 3X + -3X + -7X2 + 7X2 Combine like terms: 3X + -3X = 0 -3X + 7X2 = 0 + -7X2 + 7X2 -3X + 7X2 = -7X2 + 7X2 Combine like terms: -7X2 + 7X2 = 0 -3X + 7X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(-3 + 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 '(-3 + 7X)' equal to zero and attempt to solve: Simplifying -3 + 7X = 0 Solving -3 + 7X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7X = 0 + 3 7X = 0 + 3 Combine like terms: 0 + 3 = 3 7X = 3 Divide each side by '7'. X = 0.4285714286 Simplifying X = 0.4285714286Solution
X = {0, 0.4285714286}
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