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Simplifying 7x + -3(2x2 + -1x) + 15x2 = 0 Reorder the terms: 7x + -3(-1x + 2x2) + 15x2 = 0 7x + (-1x * -3 + 2x2 * -3) + 15x2 = 0 7x + (3x + -6x2) + 15x2 = 0 Combine like terms: 7x + 3x = 10x 10x + -6x2 + 15x2 = 0 Combine like terms: -6x2 + 15x2 = 9x2 10x + 9x2 = 0 Solving 10x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(10 + 9x) = 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 '(10 + 9x)' equal to zero and attempt to solve: Simplifying 10 + 9x = 0 Solving 10 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 0 + -10 9x = 0 + -10 Combine like terms: 0 + -10 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111Solution
x = {0, -1.111111111}
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