Solve 34.8=x*4.4+0.5*-1.4*4.4^2

$$34.8=x \times 4.4+0.5 \times -1.4 \times { 4.4 }^{ 2 }$$

Solve for x

$$x = \frac{3022}{275} = 10\frac{272}{275} \approx 10.989090909$$

Steps for Solving Linear Equation

Multiply 0.5 and -1.4 to get -0.7.

$$34.8=x\times 4.4-0.7\times 4.4^{2}$$

Calculate 4.4 to the power of 2 and get 19.36.

$$34.8=x\times 4.4-0.7\times 19.36$$

Multiply -0.7 and 19.36 to get -13.552.

$$34.8=x\times 4.4-13.552$$

Swap sides so that all variable terms are on the left hand side.

$$x\times 4.4-13.552=34.8$$

Add 13.552 to both sides.

$$x\times 4.4=34.8+13.552$$

Add 34.8 and 13.552 to get 48.352.

$$x\times 4.4=48.352$$

Divide both sides by 4.4.

$$x=\frac{48.352}{4.4}$$

Expand \frac{48.352}{4.4} by multiplying both numerator and the denominator by 1000.

$$x=\frac{48352}{4400}$$

Reduce the fraction \frac{48352}{4400} to lowest terms by extracting and canceling out 16.

$$x=\frac{3022}{275}$$