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Simplifying -3x2 + 5x + 1 = 1 Reorder the terms: 1 + 5x + -3x2 = 1 Add '-1' to each side of the equation. 1 + 5x + -1 + -3x2 = 1 + -1 Reorder the terms: 1 + -1 + 5x + -3x2 = 1 + -1 Combine like terms: 1 + -1 = 0 0 + 5x + -3x2 = 1 + -1 5x + -3x2 = 1 + -1 Combine like terms: 1 + -1 = 0 5x + -3x2 = 0 Solving 5x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -3x) = 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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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