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Simplifying -7x2 + -3x + -7 = 0 Reorder the terms: -7 + -3x + -7x2 = 0 Solving -7 + -3x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 3x + 7x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 3x + 7x2)' equal to zero and attempt to solve: Simplifying 7 + 3x + 7x2 = 0 Solving 7 + 3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.4285714286x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.4285714286x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4285714286x + x2 = 0 + -1 0.4285714286x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.4285714286x + x2 = -1 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = -1 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -1 + 0.04591836735 Combine like terms: -1 + 0.04591836735 = -0.95408163265 0.04591836735 + 0.4285714286x + x2 = -0.95408163265 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -0.95408163265 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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