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Simplifying 49x2 + -28x + 4 = 4 Reorder the terms: 4 + -28x + 49x2 = 4 Add '-4' to each side of the equation. 4 + -28x + -4 + 49x2 = 4 + -4 Reorder the terms: 4 + -4 + -28x + 49x2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -28x + 49x2 = 4 + -4 -28x + 49x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -28x + 49x2 = 0 Solving -28x + 49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-4 + 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 '(-4 + 7x)' equal to zero and attempt to solve: Simplifying -4 + 7x = 0 Solving -4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 0 + 4 7x = 0 + 4 Combine like terms: 0 + 4 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {0, 0.5714285714}
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