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Simplifying 0 = 0.02x2 + -1x3 Solving 0 = 0.02x2 + -1x3 Solving for variable 'x'. Remove the zero: -0.02x2 + x3 = 0.02x2 + -1x3 + -0.02x2 + x3 Reorder the terms: -0.02x2 + x3 = 0.02x2 + -0.02x2 + -1x3 + x3 Combine like terms: 0.02x2 + -0.02x2 = 0.00 -0.02x2 + x3 = 0.00 + -1x3 + x3 -0.02x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -0.02x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-0.02 + x) = 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 '(-0.02 + x)' equal to zero and attempt to solve: Simplifying -0.02 + x = 0 Solving -0.02 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '0.02' to each side of the equation. -0.02 + 0.02 + x = 0 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + x = 0 + 0.02 x = 0 + 0.02 Combine like terms: 0 + 0.02 = 0.02 x = 0.02 Simplifying x = 0.02Solution
x = {0, 0.02}
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