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Simplifying 6x2 + -1x = 4xfactoring Reorder the terms: -1x + 6x2 = 4xfactoring Solving -1x + 6x2 = 4acfginortx Solving for variable 'x'. Reorder the terms: -4acfginortx + -1x + 6x2 = 4acfginortx + -4acfginortx Combine like terms: 4acfginortx + -4acfginortx = 0 -4acfginortx + -1x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4acfginort + -1 + 6x) = 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 '(-4acfginort + -1 + 6x)' equal to zero and attempt to solve: Simplifying -4acfginort + -1 + 6x = 0 Reorder the terms: -1 + -4acfginort + 6x = 0 Solving -1 + -4acfginort + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -4acfginort + 1 + 6x = 0 + 1 Reorder the terms: -1 + 1 + -4acfginort + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4acfginort + 6x = 0 + 1 -4acfginort + 6x = 0 + 1 Combine like terms: 0 + 1 = 1 -4acfginort + 6x = 1 Add '4acfginort' to each side of the equation. -4acfginort + 4acfginort + 6x = 1 + 4acfginort Combine like terms: -4acfginort + 4acfginort = 0 0 + 6x = 1 + 4acfginort 6x = 1 + 4acfginort Divide each side by '6'. x = 0.1666666667 + 0.6666666667acfginort Simplifying x = 0.1666666667 + 0.6666666667acfginortSolution
x = {0, 0.1666666667 + 0.6666666667acfginort}
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