(-5v^2-8v-5)-(-6v^2-7v+7)+(-7v^2-7v+4)=

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Solution for (-5v^2-8v-5)-(-6v^2-7v+7)+(-7v^2-7v+4)= equation:


Simplifying
(-5v2 + -8v + -5) + -1(-6v2 + -7v + 7) + (-7v2 + -7v + 4) = 0

Reorder the terms:
(-5 + -8v + -5v2) + -1(-6v2 + -7v + 7) + (-7v2 + -7v + 4) = 0

Remove parenthesis around (-5 + -8v + -5v2)
-5 + -8v + -5v2 + -1(-6v2 + -7v + 7) + (-7v2 + -7v + 4) = 0

Reorder the terms:
-5 + -8v + -5v2 + -1(7 + -7v + -6v2) + (-7v2 + -7v + 4) = 0
-5 + -8v + -5v2 + (7 * -1 + -7v * -1 + -6v2 * -1) + (-7v2 + -7v + 4) = 0
-5 + -8v + -5v2 + (-7 + 7v + 6v2) + (-7v2 + -7v + 4) = 0

Reorder the terms:
-5 + -8v + -5v2 + -7 + 7v + 6v2 + (4 + -7v + -7v2) = 0

Remove parenthesis around (4 + -7v + -7v2)
-5 + -8v + -5v2 + -7 + 7v + 6v2 + 4 + -7v + -7v2 = 0

Reorder the terms:
-5 + -7 + 4 + -8v + 7v + -7v + -5v2 + 6v2 + -7v2 = 0

Combine like terms: -5 + -7 = -12
-12 + 4 + -8v + 7v + -7v + -5v2 + 6v2 + -7v2 = 0

Combine like terms: -12 + 4 = -8
-8 + -8v + 7v + -7v + -5v2 + 6v2 + -7v2 = 0

Combine like terms: -8v + 7v = -1v
-8 + -1v + -7v + -5v2 + 6v2 + -7v2 = 0

Combine like terms: -1v + -7v = -8v
-8 + -8v + -5v2 + 6v2 + -7v2 = 0

Combine like terms: -5v2 + 6v2 = 1v2
-8 + -8v + 1v2 + -7v2 = 0

Combine like terms: 1v2 + -7v2 = -6v2
-8 + -8v + -6v2 = 0

Solving
-8 + -8v + -6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(4 + 4v + 3v2) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(4 + 4v + 3v2)' equal to zero and attempt to solve: Simplifying 4 + 4v + 3v2 = 0 Solving 4 + 4v + 3v2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.333333333 + 1.333333333v + v2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 1.333333333v + -1.333333333 + v2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 1.333333333v + v2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 1.333333333v + v2 = 0 + -1.333333333 1.333333333v + v2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 1.333333333v + v2 = -1.333333333 The v term is 1.333333333v. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333v + 0.4444444442 + v2 = -1.333333333 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333v + v2 = -1.333333333 + 0.4444444442 Combine like terms: -1.333333333 + 0.4444444442 = -0.8888888888 0.4444444442 + 1.333333333v + v2 = -0.8888888888 Factor a perfect square on the left side: (v + 0.6666666665)(v + 0.6666666665) = -0.8888888888 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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