-5=2x(4x+6)

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Solution for -5=2x(4x+6) equation:


Simplifying
-5 = 2x(4x + 6)

Reorder the terms:
-5 = 2x(6 + 4x)
-5 = (6 * 2x + 4x * 2x)
-5 = (12x + 8x2)

Solving
-5 = 12x + 8x2

Solving for variable 'x'.

Reorder the terms:
-5 + -12x + -8x2 = 12x + -12x + 8x2 + -8x2

Combine like terms: 12x + -12x = 0
-5 + -12x + -8x2 = 0 + 8x2 + -8x2
-5 + -12x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-5 + -12x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 12x + 8x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(5 + 12x + 8x2)' equal to zero and attempt to solve: Simplifying 5 + 12x + 8x2 = 0 Solving 5 + 12x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 1.5x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 1.5x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 1.5x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 1.5x + x2 = 0 + -0.625 1.5x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 1.5x + x2 = -0.625 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -0.625 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -0.625 + 0.5625 Combine like terms: -0.625 + 0.5625 = -0.0625 0.5625 + 1.5x + x2 = -0.0625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -0.0625 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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