16x^2+6x=-14

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Solution for 16x^2+6x=-14 equation:


Simplifying
16x2 + 6x = -14

Reorder the terms:
6x + 16x2 = -14

Solving
6x + 16x2 = -14

Solving for variable 'x'.

Reorder the terms:
14 + 6x + 16x2 = -14 + 14

Combine like terms: -14 + 14 = 0
14 + 6x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 3x + 8x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + 3x + 8x2)' equal to zero and attempt to solve: Simplifying 7 + 3x + 8x2 = 0 Solving 7 + 3x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + 0.375x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.375x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.375x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.375x + x2 = 0 + -0.875 0.375x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.375x + x2 = -0.875 The x term is 0.375x. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x + 0.03515625 + x2 = -0.875 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x + x2 = -0.875 + 0.03515625 Combine like terms: -0.875 + 0.03515625 = -0.83984375 0.03515625 + 0.375x + x2 = -0.83984375 Factor a perfect square on the left side: (x + 0.1875)(x + 0.1875) = -0.83984375 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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