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Simplifying 2x2 + -7x + 1 = 1 Reorder the terms: 1 + -7x + 2x2 = 1 Add '-1' to each side of the equation. 1 + -7x + -1 + 2x2 = 1 + -1 Reorder the terms: 1 + -1 + -7x + 2x2 = 1 + -1 Combine like terms: 1 + -1 = 0 0 + -7x + 2x2 = 1 + -1 -7x + 2x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -7x + 2x2 = 0 Solving -7x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 2x) = 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 '(-7 + 2x)' equal to zero and attempt to solve: Simplifying -7 + 2x = 0 Solving -7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5Solution
x = {0, 3.5}
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