(8a+2b-4)(3b-5)=

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Solution for (8a+2b-4)(3b-5)= equation:


Simplifying
(8a + 2b + -4)(3b + -5) = 0

Reorder the terms:
(-4 + 8a + 2b)(3b + -5) = 0

Reorder the terms:
(-4 + 8a + 2b)(-5 + 3b) = 0

Multiply (-4 + 8a + 2b) * (-5 + 3b)
(-4(-5 + 3b) + 8a * (-5 + 3b) + 2b * (-5 + 3b)) = 0
((-5 * -4 + 3b * -4) + 8a * (-5 + 3b) + 2b * (-5 + 3b)) = 0
((20 + -12b) + 8a * (-5 + 3b) + 2b * (-5 + 3b)) = 0
(20 + -12b + (-5 * 8a + 3b * 8a) + 2b * (-5 + 3b)) = 0
(20 + -12b + (-40a + 24ab) + 2b * (-5 + 3b)) = 0
(20 + -12b + -40a + 24ab + (-5 * 2b + 3b * 2b)) = 0
(20 + -12b + -40a + 24ab + (-10b + 6b2)) = 0

Reorder the terms:
(20 + -40a + 24ab + -12b + -10b + 6b2) = 0

Combine like terms: -12b + -10b = -22b
(20 + -40a + 24ab + -22b + 6b2) = 0

Solving
20 + -40a + 24ab + -22b + 6b2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + -40a + 24ab + -22b + -20 + 6b2 = 0 + -20

Reorder the terms:
20 + -20 + -40a + 24ab + -22b + 6b2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -40a + 24ab + -22b + 6b2 = 0 + -20
-40a + 24ab + -22b + 6b2 = 0 + -20

Combine like terms: 0 + -20 = -20
-40a + 24ab + -22b + 6b2 = -20

Add '22b' to each side of the equation.
-40a + 24ab + -22b + 22b + 6b2 = -20 + 22b

Combine like terms: -22b + 22b = 0
-40a + 24ab + 0 + 6b2 = -20 + 22b
-40a + 24ab + 6b2 = -20 + 22b

Add '-6b2' to each side of the equation.
-40a + 24ab + 6b2 + -6b2 = -20 + 22b + -6b2

Combine like terms: 6b2 + -6b2 = 0
-40a + 24ab + 0 = -20 + 22b + -6b2
-40a + 24ab = -20 + 22b + -6b2

Reorder the terms:
20 + -40a + 24ab + -22b + 6b2 = -20 + 22b + -6b2 + 20 + -22b + 6b2

Reorder the terms:
20 + -40a + 24ab + -22b + 6b2 = -20 + 20 + 22b + -22b + -6b2 + 6b2

Combine like terms: -20 + 20 = 0
20 + -40a + 24ab + -22b + 6b2 = 0 + 22b + -22b + -6b2 + 6b2
20 + -40a + 24ab + -22b + 6b2 = 22b + -22b + -6b2 + 6b2

Combine like terms: 22b + -22b = 0
20 + -40a + 24ab + -22b + 6b2 = 0 + -6b2 + 6b2
20 + -40a + 24ab + -22b + 6b2 = -6b2 + 6b2

Combine like terms: -6b2 + 6b2 = 0
20 + -40a + 24ab + -22b + 6b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -20a + 12ab + -11b + 3b2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(10 + -20a + 12ab + -11b + 3b2)' equal to zero and attempt to solve: Simplifying 10 + -20a + 12ab + -11b + 3b2 = 0 Solving 10 + -20a + 12ab + -11b + 3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -20a + 12ab + -11b + -10 + 3b2 = 0 + -10 Reorder the terms: 10 + -10 + -20a + 12ab + -11b + 3b2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -20a + 12ab + -11b + 3b2 = 0 + -10 -20a + 12ab + -11b + 3b2 = 0 + -10 Combine like terms: 0 + -10 = -10 -20a + 12ab + -11b + 3b2 = -10 Add '11b' to each side of the equation. -20a + 12ab + -11b + 11b + 3b2 = -10 + 11b Combine like terms: -11b + 11b = 0 -20a + 12ab + 0 + 3b2 = -10 + 11b -20a + 12ab + 3b2 = -10 + 11b Add '-3b2' to each side of the equation. -20a + 12ab + 3b2 + -3b2 = -10 + 11b + -3b2 Combine like terms: 3b2 + -3b2 = 0 -20a + 12ab + 0 = -10 + 11b + -3b2 -20a + 12ab = -10 + 11b + -3b2 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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