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Simplifying 0 = (4x2 + -1) + (6x2 + x + 1) Reorder the terms: 0 = (-1 + 4x2) + (6x2 + x + 1) Remove parenthesis around (-1 + 4x2) 0 = -1 + 4x2 + (6x2 + x + 1) Reorder the terms: 0 = -1 + 4x2 + (1 + x + 6x2) Remove parenthesis around (1 + x + 6x2) 0 = -1 + 4x2 + 1 + x + 6x2 Reorder the terms: 0 = -1 + 1 + x + 4x2 + 6x2 Combine like terms: -1 + 1 = 0 0 = 0 + x + 4x2 + 6x2 0 = x + 4x2 + 6x2 Combine like terms: 4x2 + 6x2 = 10x2 0 = x + 10x2 Solving 0 = x + 10x2 Solving for variable 'x'. Remove the zero: -1x + -10x2 = x + 10x2 + -1x + -10x2 Reorder the terms: -1x + -10x2 = x + -1x + 10x2 + -10x2 Combine like terms: x + -1x = 0 -1x + -10x2 = 0 + 10x2 + -10x2 -1x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -1x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + 10x) = 0 Ignore the factor -1.Subproblem 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 '(1 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1Solution
x = {0, -0.1}
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