8(7v-5)(v-6)=0

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Solution for 8(7v-5)(v-6)=0 equation:


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

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

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

Multiply (-5 + 7v) * (-6 + v)
8(-5(-6 + v) + 7v * (-6 + v)) = 0
8((-6 * -5 + v * -5) + 7v * (-6 + v)) = 0
8((30 + -5v) + 7v * (-6 + v)) = 0
8(30 + -5v + (-6 * 7v + v * 7v)) = 0
8(30 + -5v + (-42v + 7v2)) = 0

Combine like terms: -5v + -42v = -47v
8(30 + -47v + 7v2) = 0
(30 * 8 + -47v * 8 + 7v2 * 8) = 0
(240 + -376v + 56v2) = 0

Solving
240 + -376v + 56v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '8'.
8(30 + -47v + 7v2) = 0

Factor a trinomial.
8((5 + -7v)(6 + -1v)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(5 + -7v)' equal to zero and attempt to solve: Simplifying 5 + -7v = 0 Solving 5 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7v = 0 + -5 -7v = 0 + -5 Combine like terms: 0 + -5 = -5 -7v = -5 Divide each side by '-7'. v = 0.7142857143 Simplifying v = 0.7142857143

Subproblem 2

Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6

Solution

v = {0.7142857143, 6}

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