Solve -14*3.1385-2*4.1491left(3.1385^2+4.1491^2-xright)=-50

$$-14 \cdot 3.1385-2 \cdot 4.1491 \left( { 3.1385 }^{ 2 } + { 4.1491 }^{ 2 } -x \right) = -50$$

Solve for x

$$x = \frac{54632887753623}{2074550000000} = 26\frac{694587753623}{2074550000000} \approx 26.334813696$$

Steps for Solving Linear Equation

Multiply -14 and 3.1385 to get -43.939.

$$-43.939-2\times 4.1491\left(3.1385^{2}+4.1491^{2}-x\right)=-50$$

Multiply 2 and 4.1491 to get 8.2982.

$$-43.939-8.2982\left(3.1385^{2}+4.1491^{2}-x\right)=-50$$

Calculate 3.1385 to the power of 2 and get 9.85018225.

$$-43.939-8.2982\left(9.85018225+4.1491^{2}-x\right)=-50$$

Calculate 4.1491 to the power of 2 and get 17.21503081.

$$-43.939-8.2982\left(9.85018225+17.21503081-x\right)=-50$$

Add 9.85018225 and 17.21503081 to get 27.06521306.

$$-43.939-8.2982\left(27.06521306-x\right)=-50$$

Use the distributive property to multiply -8.2982 by 27.06521306-x.

$$-43.939-224.592551014492+8.2982x=-50$$

Subtract 224.592551014492 from -43.939 to get -268.531551014492.

$$-268.531551014492+8.2982x=-50$$

Add 268.531551014492 to both sides.

$$8.2982x=-50+268.531551014492$$

Add -50 and 268.531551014492 to get 218.531551014492.

$$8.2982x=218.531551014492$$

Divide both sides by 8.2982.

$$x=\frac{218.531551014492}{8.2982}$$

Expand \frac{218.531551014492}{8.2982} by multiplying both numerator and the denominator by 1000000000000.

$$x=\frac{218531551014492}{8298200000000}$$

Reduce the fraction \frac{218531551014492}{8298200000000} to lowest terms by extracting and canceling out 4.

$$x=\frac{54632887753623}{2074550000000}$$