Solve (8-23*13376+i6-2)*138+4*935

$$( 8 - 23 \times 13376 + i 6 - 2 ) \times 138 + 4 \times 935$$

Evaluate

$$-42450856+828i$$

Solution Steps

Multiply 23 and 13376 to get 307648.

$$\left(8-307648+6i-2\right)\times 138+4\times 935$$

Subtract 307648 from 8 to get -307640.

$$\left(-307640+6i-2\right)\times 138+4\times 935$$

Combine the real and imaginary parts in -307640+6i-2.

$$\left(-307640-2+6i\right)\times 138+4\times 935$$

Add -307640 to -2.

$$\left(-307642+6i\right)\times 138+4\times 935$$

Multiply -307642+6i times 138.

$$-307642\times 138+6i\times 138+4\times 935$$

Do the multiplications in -307642\times 138+6i\times 138.

$$-42454596+828i+4\times 935$$

Multiply 4 and 935 to get 3740.

$$-42454596+828i+3740$$

Combine the real and imaginary parts.

$$-42454596+3740+828i$$

Add -42454596 to 3740.

$$-42450856+828i$$

Real Part

$$-42450856$$

Solution Steps

Multiply 23 and 13376 to get 307648.

$$Re(\left(8-307648+6i-2\right)\times 138+4\times 935)$$

Subtract 307648 from 8 to get -307640.

$$Re(\left(-307640+6i-2\right)\times 138+4\times 935)$$

Combine the real and imaginary parts in -307640+6i-2.

$$Re(\left(-307640-2+6i\right)\times 138+4\times 935)$$

Add -307640 to -2.

$$Re(\left(-307642+6i\right)\times 138+4\times 935)$$

Multiply -307642+6i times 138.

$$Re(-307642\times 138+6i\times 138+4\times 935)$$

Do the multiplications in -307642\times 138+6i\times 138.

$$Re(-42454596+828i+4\times 935)$$

Multiply 4 and 935 to get 3740.

$$Re(-42454596+828i+3740)$$

Combine the real and imaginary parts in -42454596+828i+3740.

$$Re(-42454596+3740+828i)$$

Add -42454596 to 3740.

$$Re(-42450856+828i)$$

The real part of -42450856+828i is -42450856.

$$-42450856$$