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Simplifying 15x2 + 2x + 3 = 3 + 8x2 Reorder the terms: 3 + 2x + 15x2 = 3 + 8x2 Add '-3' to each side of the equation. 3 + 2x + -3 + 15x2 = 3 + -3 + 8x2 Reorder the terms: 3 + -3 + 2x + 15x2 = 3 + -3 + 8x2 Combine like terms: 3 + -3 = 0 0 + 2x + 15x2 = 3 + -3 + 8x2 2x + 15x2 = 3 + -3 + 8x2 Combine like terms: 3 + -3 = 0 2x + 15x2 = 0 + 8x2 2x + 15x2 = 8x2 Solving 2x + 15x2 = 8x2 Solving for variable 'x'. Combine like terms: 15x2 + -8x2 = 7x2 2x + 7x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 2x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2 + 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 '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {0, -0.2857142857}
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