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Simplifying 49x2 = 42x Solving 49x2 = 42x Solving for variable 'x'. Reorder the terms: -42x + 49x2 = 42x + -42x Combine like terms: 42x + -42x = 0 -42x + 49x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(-6 + 7x) = 0 Ignore the factor 7.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 '(-6 + 7x)' equal to zero and attempt to solve: Simplifying -6 + 7x = 0 Solving -6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 0 + 6 7x = 0 + 6 Combine like terms: 0 + 6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {0, 0.8571428571}
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