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Simplifying (x2 + -1x2) * 2 + -10x(x2 + -1x) + 9x2 = 0 Combine like terms: x2 + -1x2 = 0 (0) * 2 + -10x(x2 + -1x) + 9x2 = 0 Multiply 0 * 2 0 + -10x(x2 + -1x) + 9x2 = 0 Anything times zero is zero. 0 + -10x(x2 + -1x) + 9x2 = 0 Reorder the terms: 0 + -10x(-1x + x2) + 9x2 = 0 0 + (-1x * -10x + x2 * -10x) + 9x2 = 0 0 + (10x2 + -10x3) + 9x2 = 0 Reorder the terms: 0 + 10x2 + 9x2 + -10x3 = 0 Remove the zero: 10x2 + 9x2 + -10x3 = 0 Combine like terms: 10x2 + 9x2 = 19x2 19x2 + -10x3 = 0 Solving 19x2 + -10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(19 + -10x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(19 + -10x)' equal to zero and attempt to solve: Simplifying 19 + -10x = 0 Solving 19 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -10x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = 0 + -19 -10x = 0 + -19 Combine like terms: 0 + -19 = -19 -10x = -19 Divide each side by '-10'. x = 1.9 Simplifying x = 1.9Solution
x = {0, 1.9}
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