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Simplifying (3x2 + -5x + 10) + (2x2 + 8x + -10) = 0 Reorder the terms: (10 + -5x + 3x2) + (2x2 + 8x + -10) = 0 Remove parenthesis around (10 + -5x + 3x2) 10 + -5x + 3x2 + (2x2 + 8x + -10) = 0 Reorder the terms: 10 + -5x + 3x2 + (-10 + 8x + 2x2) = 0 Remove parenthesis around (-10 + 8x + 2x2) 10 + -5x + 3x2 + -10 + 8x + 2x2 = 0 Reorder the terms: 10 + -10 + -5x + 8x + 3x2 + 2x2 = 0 Combine like terms: 10 + -10 = 0 0 + -5x + 8x + 3x2 + 2x2 = 0 -5x + 8x + 3x2 + 2x2 = 0 Combine like terms: -5x + 8x = 3x 3x + 3x2 + 2x2 = 0 Combine like terms: 3x2 + 2x2 = 5x2 3x + 5x2 = 0 Solving 3x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {0, -0.6}
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