What is the answer to 1/7 (x-5)^2-1/8 (x+5)^2=((x-70)(x-80)-x)/(56) ?

The answer to 1/7 (x-5)^2-1/8 (x+5)^2=((x-70)(x-80)-x)/(56) is x=5575

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1/7 (x-5)^2-1/8 (x+5)^2=((x-70)(x-80)-x)/(56)

\frac{1}{7} (x - 5)^{2} - \frac{1}{8} (x + 5)^{2} = \frac{( x - 70 ) ( x - 80 ) - x}{56}

x = 5575

Solution steps

\frac{1}{7} (x - 5)^{2} - \frac{1}{8} (x + 5)^{2} = \frac{( x - 70 ) ( x - 80 ) - x}{56}

Multiply by LCM

8 (x - 5)^{2} - 7 (x + 5)^{2} = (x - 70) (x - 80) - x

Expand

8 (x - 5)^{2} - 7 (x + 5)^{2} : x^{2} - 150 x + 25

Expand

(x - 70) (x - 80) - x : x^{2} - 151 x + 5600

x^{2} - 150 x + 25 = x^{2} - 151 x + 5600

Move

25

to the right side

x^{2} - 150 x = x^{2} - 151 x + 5575

Subtract

x^{2} - 151 x

from both sides

x^{2} - 150 x - (x^{2} - 151 x) = x^{2} - 151 x + 5575 - (x^{2} - 151 x)

Simplify

x = 5575

\frac{2 x + 7}{9} - 4 = \frac{x - 7}{12}

7.381 = 0.41 - 0.11 \cdot x

f = 2^{13}

f = 2^{14}

3 (x - 6) + 2 x = 22

What is the answer to 1/7 (x-5)^2-1/8 (x+5)^2=((x-70)(x-80)-x)/(56) ?
The answer to 1/7 (x-5)^2-1/8 (x+5)^2=((x-70)(x-80)-x)/(56) is x=5575
Solve for x: 1/7 (x-5)^2-1/8 (x+5)^2=((x-70)(x-80)-x)/(56)
The solution is x=5575