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Simplifying 3x + 8x + 10x + -1x * 10x = 0 Reorder the terms for easier multiplication: 3x + 8x + 10x + -1 * 10x * x = 0 Multiply -1 * 10 3x + 8x + 10x + -10x * x = 0 Multiply x * x 3x + 8x + 10x + -10x2 = 0 Combine like terms: 3x + 8x = 11x 11x + 10x + -10x2 = 0 Combine like terms: 11x + 10x = 21x 21x + -10x2 = 0 Solving 21x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(21 + -10x) = 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 '(21 + -10x)' equal to zero and attempt to solve: Simplifying 21 + -10x = 0 Solving 21 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -10x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = 0 + -21 -10x = 0 + -21 Combine like terms: 0 + -21 = -21 -10x = -21 Divide each side by '-10'. x = 2.1 Simplifying x = 2.1Solution
x = {0, 2.1}
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