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Simplifying 336x2 + 24 = 172x Reorder the terms: 24 + 336x2 = 172x Solving 24 + 336x2 = 172x Solving for variable 'x'. Reorder the terms: 24 + -172x + 336x2 = 172x + -172x Combine like terms: 172x + -172x = 0 24 + -172x + 336x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(6 + -43x + 84x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + -43x + 84x2)' equal to zero and attempt to solve: Simplifying 6 + -43x + 84x2 = 0 Solving 6 + -43x + 84x2 = 0 Begin completing the square. Divide all terms by 84 the coefficient of the squared term: Divide each side by '84'. 0.07142857143 + -0.5119047619x + x2 = 0 Move the constant term to the right: Add '-0.07142857143' to each side of the equation. 0.07142857143 + -0.5119047619x + -0.07142857143 + x2 = 0 + -0.07142857143 Reorder the terms: 0.07142857143 + -0.07142857143 + -0.5119047619x + x2 = 0 + -0.07142857143 Combine like terms: 0.07142857143 + -0.07142857143 = 0.00000000000 0.00000000000 + -0.5119047619x + x2 = 0 + -0.07142857143 -0.5119047619x + x2 = 0 + -0.07142857143 Combine like terms: 0 + -0.07142857143 = -0.07142857143 -0.5119047619x + x2 = -0.07142857143 The x term is -0.5119047619x. Take half its coefficient (-0.255952381). Square it (0.06551162134) and add it to both sides. Add '0.06551162134' to each side of the equation. -0.5119047619x + 0.06551162134 + x2 = -0.07142857143 + 0.06551162134 Reorder the terms: 0.06551162134 + -0.5119047619x + x2 = -0.07142857143 + 0.06551162134 Combine like terms: -0.07142857143 + 0.06551162134 = -0.00591695009 0.06551162134 + -0.5119047619x + x2 = -0.00591695009 Factor a perfect square on the left side: (x + -0.255952381)(x + -0.255952381) = -0.00591695009 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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