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Simplifying 3x2 + -84x + 738 = 0 Reorder the terms: 738 + -84x + 3x2 = 0 Solving 738 + -84x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(246 + -28x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(246 + -28x + x2)' equal to zero and attempt to solve: Simplifying 246 + -28x + x2 = 0 Solving 246 + -28x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-246' to each side of the equation. 246 + -28x + -246 + x2 = 0 + -246 Reorder the terms: 246 + -246 + -28x + x2 = 0 + -246 Combine like terms: 246 + -246 = 0 0 + -28x + x2 = 0 + -246 -28x + x2 = 0 + -246 Combine like terms: 0 + -246 = -246 -28x + x2 = -246 The x term is -28x. Take half its coefficient (-14). Square it (196) and add it to both sides. Add '196' to each side of the equation. -28x + 196 + x2 = -246 + 196 Reorder the terms: 196 + -28x + x2 = -246 + 196 Combine like terms: -246 + 196 = -50 196 + -28x + x2 = -50 Factor a perfect square on the left side: (x + -14)(x + -14) = -50 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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