(6x-3)(-7x+8)=

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Solution for (6x-3)(-7x+8)= equation: 


Simplifying
(6x + -3)(-7x + 8) = 0

Reorder the terms:
(-3 + 6x)(-7x + 8) = 0

Reorder the terms:
(-3 + 6x)(8 + -7x) = 0

Multiply (-3 + 6x) * (8 + -7x)
(-3(8 + -7x) + 6x * (8 + -7x)) = 0
((8 * -3 + -7x * -3) + 6x * (8 + -7x)) = 0
((-24 + 21x) + 6x * (8 + -7x)) = 0
(-24 + 21x + (8 * 6x + -7x * 6x)) = 0
(-24 + 21x + (48x + -42x2)) = 0

Combine like terms: 21x + 48x = 69x
(-24 + 69x + -42x2) = 0

Solving
-24 + 69x + -42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 23x + -14x2) = 0

Factor a trinomial.
3((-8 + 7x)(1 + -2x)) = 0

Ignore the factor 3.

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

Simplifying
-8 + 7x = 0

Solving
-8 + 7x = 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 + 7x = 0 + 8

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

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

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {1.142857143, 0.5}

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