(8x-7)(3x-8)=0

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Solution for (8x-7)(3x-8)=0 equation: 


Simplifying
(8x + -7)(3x + -8) = 0

Reorder the terms:
(-7 + 8x)(3x + -8) = 0

Reorder the terms:
(-7 + 8x)(-8 + 3x) = 0

Multiply (-7 + 8x) * (-8 + 3x)
(-7(-8 + 3x) + 8x * (-8 + 3x)) = 0
((-8 * -7 + 3x * -7) + 8x * (-8 + 3x)) = 0
((56 + -21x) + 8x * (-8 + 3x)) = 0
(56 + -21x + (-8 * 8x + 3x * 8x)) = 0
(56 + -21x + (-64x + 24x2)) = 0

Combine like terms: -21x + -64x = -85x
(56 + -85x + 24x2) = 0

Solving
56 + -85x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -8x)(8 + -3x) = 0


Subproblem 1
Set the factor '(7 + -8x)' equal to zero and attempt to solve:

Simplifying
7 + -8x = 0

Solving
7 + -8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 0 + -7
-8x = 0 + -7

Combine like terms: 0 + -7 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {0.875, 2.666666667}

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