-8+2x[-6+7x(-8+4)]=

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Solution for -8+2x[-6+7x(-8+4)]= equation:


Simplifying
-8 + 2x[-6 + 7x(-8 + 4)] = 0

Combine like terms: -8 + 4 = -4
-8 + 2x[-6 + 7x(-4)] = 0

Reorder the terms for easier multiplication:
-8 + 2x[-6 + 7 * -4x] = 0

Multiply 7 * -4
-8 + 2x[-6 + -28x] = 0
-8 + [-6 * 2x + -28x * 2x] = 0
-8 + [-12x + -56x2] = 0

Solving
-8 + -12x + -56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(2 + 3x + 14x2) = 0

Ignore the factor -4.

Subproblem 1

Set the factor '(2 + 3x + 14x2)' equal to zero and attempt to solve: Simplifying 2 + 3x + 14x2 = 0 Solving 2 + 3x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.1428571429 + 0.2142857143x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.2142857143x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.2142857143x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.2142857143x + x2 = 0 + -0.1428571429 0.2142857143x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.2142857143x + x2 = -0.1428571429 The x term is 0.2142857143x. Take half its coefficient (0.1071428572). Square it (0.01147959185) and add it to both sides. Add '0.01147959185' to each side of the equation. 0.2142857143x + 0.01147959185 + x2 = -0.1428571429 + 0.01147959185 Reorder the terms: 0.01147959185 + 0.2142857143x + x2 = -0.1428571429 + 0.01147959185 Combine like terms: -0.1428571429 + 0.01147959185 = -0.13137755105 0.01147959185 + 0.2142857143x + x2 = -0.13137755105 Factor a perfect square on the left side: (x + 0.1071428572)(x + 0.1071428572) = -0.13137755105 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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