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Simplifying 0 = 121x2 + 5x + 7 Reorder the terms: 0 = 7 + 5x + 121x2 Solving 0 = 7 + 5x + 121x2 Solving for variable 'x'. Combine like terms: 0 + -7 = -7 -7 + -5x + -121x2 = 7 + 5x + 121x2 + -7 + -5x + -121x2 Reorder the terms: -7 + -5x + -121x2 = 7 + -7 + 5x + -5x + 121x2 + -121x2 Combine like terms: 7 + -7 = 0 -7 + -5x + -121x2 = 0 + 5x + -5x + 121x2 + -121x2 -7 + -5x + -121x2 = 5x + -5x + 121x2 + -121x2 Combine like terms: 5x + -5x = 0 -7 + -5x + -121x2 = 0 + 121x2 + -121x2 -7 + -5x + -121x2 = 121x2 + -121x2 Combine like terms: 121x2 + -121x2 = 0 -7 + -5x + -121x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 5x + 121x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 5x + 121x2)' equal to zero and attempt to solve: Simplifying 7 + 5x + 121x2 = 0 Solving 7 + 5x + 121x2 = 0 Begin completing the square. Divide all terms by 121 the coefficient of the squared term: Divide each side by '121'. 0.05785123967 + 0.04132231405x + x2 = 0 Move the constant term to the right: Add '-0.05785123967' to each side of the equation. 0.05785123967 + 0.04132231405x + -0.05785123967 + x2 = 0 + -0.05785123967 Reorder the terms: 0.05785123967 + -0.05785123967 + 0.04132231405x + x2 = 0 + -0.05785123967 Combine like terms: 0.05785123967 + -0.05785123967 = 0.00000000000 0.00000000000 + 0.04132231405x + x2 = 0 + -0.05785123967 0.04132231405x + x2 = 0 + -0.05785123967 Combine like terms: 0 + -0.05785123967 = -0.05785123967 0.04132231405x + x2 = -0.05785123967 The x term is 0.04132231405x. Take half its coefficient (0.02066115703). Square it (0.0004268834098) and add it to both sides. Add '0.0004268834098' to each side of the equation. 0.04132231405x + 0.0004268834098 + x2 = -0.05785123967 + 0.0004268834098 Reorder the terms: 0.0004268834098 + 0.04132231405x + x2 = -0.05785123967 + 0.0004268834098 Combine like terms: -0.05785123967 + 0.0004268834098 = -0.0574243562602 0.0004268834098 + 0.04132231405x + x2 = -0.0574243562602 Factor a perfect square on the left side: (x + 0.02066115703)(x + 0.02066115703) = -0.0574243562602 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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