-7x^2-3x-2=0

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Solution for -7x^2-3x-2=0 equation:


Simplifying
-7x2 + -3x + -2 = 0

Reorder the terms:
-2 + -3x + -7x2 = 0

Solving
-2 + -3x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 3x + 7x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + 3x + 7x2)' equal to zero and attempt to solve: Simplifying 2 + 3x + 7x2 = 0 Solving 2 + 3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.2857142857 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + 0.4285714286x + -0.2857142857 + x2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + 0.4285714286x + x2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + 0.4285714286x + x2 = 0 + -0.2857142857 0.4285714286x + x2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 0.4285714286x + x2 = -0.2857142857 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 = -0.2857142857 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -0.2857142857 + 0.04591836735 Combine like terms: -0.2857142857 + 0.04591836735 = -0.23979591835 0.04591836735 + 0.4285714286x + x2 = -0.23979591835 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -0.23979591835 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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