(8x-7)(64x-112x+49)=0

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Solution for (8x-7)(64x-112x+49)=0 equation: 


Simplifying
(8x + -7)(64x + -112x + 49) = 0

Reorder the terms:
(-7 + 8x)(64x + -112x + 49) = 0

Reorder the terms:
(-7 + 8x)(49 + 64x + -112x) = 0

Combine like terms: 64x + -112x = -48x
(-7 + 8x)(49 + -48x) = 0

Multiply (-7 + 8x) * (49 + -48x)
(-7(49 + -48x) + 8x * (49 + -48x)) = 0
((49 * -7 + -48x * -7) + 8x * (49 + -48x)) = 0
((-343 + 336x) + 8x * (49 + -48x)) = 0
(-343 + 336x + (49 * 8x + -48x * 8x)) = 0
(-343 + 336x + (392x + -384x2)) = 0

Combine like terms: 336x + 392x = 728x
(-343 + 728x + -384x2) = 0

Solving
-343 + 728x + -384x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-49 + 48x)(7 + -8x) = 0


Subproblem 1
Set the factor '(-49 + 48x)' equal to zero and attempt to solve:

Simplifying
-49 + 48x = 0

Solving
-49 + 48x = 0

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

Add '49' to each side of the equation.
-49 + 49 + 48x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 48x = 0 + 49
48x = 0 + 49

Combine like terms: 0 + 49 = 49
48x = 49

Divide each side by '48'.
x = 1.020833333

Simplifying
x = 1.020833333

Subproblem 2
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
Solution
x = {1.020833333, 0.875}

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