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Simplifying 6x2 + -17x + 1 = 1 + 4x Reorder the terms: 1 + -17x + 6x2 = 1 + 4x Add '-1' to each side of the equation. 1 + -17x + -1 + 6x2 = 1 + -1 + 4x Reorder the terms: 1 + -1 + -17x + 6x2 = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + -17x + 6x2 = 1 + -1 + 4x -17x + 6x2 = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 -17x + 6x2 = 0 + 4x -17x + 6x2 = 4x Solving -17x + 6x2 = 4x Solving for variable 'x'. Reorder the terms: -17x + -4x + 6x2 = 4x + -4x Combine like terms: -17x + -4x = -21x -21x + 6x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -21x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-7 + 2x) = 0 Ignore the factor 3.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 '(-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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