Solve -2x*(1,5x-4)+(4x-1)*(-x+8)=

$$- 2 x \cdot ( 1,5 x - 4 ) + ( 4 x - 1 ) \cdot ( - x + 8 ) =$$

Evaluate

$$-7x^{2}+41x-8$$

Solution Steps

Use the distributive property to multiply -2x by 1,5x-4.

$$-3x^{2}+8x+\left(4x-1\right)\left(-x+8\right)$$

Apply the distributive property by multiplying each term of 4x-1 by each term of -x+8.

$$-3x^{2}+8x+4x\left(-x\right)+32x-\left(-x\right)-8$$

Multiply -1 and -1 to get 1.

$$-3x^{2}+8x+4x\left(-x\right)+32x+x-8$$

Combine 32x and x to get 33x.

$$-3x^{2}+8x+4x\left(-x\right)+33x-8$$

Combine 8x and 33x to get 41x.

$$-3x^{2}+41x+4x\left(-x\right)-8$$

Multiply x and x to get x^{2}.

$$-3x^{2}+41x+4x^{2}\left(-1\right)-8$$

Multiply 4 and -1 to get -4.

$$-3x^{2}+41x-4x^{2}-8$$

Combine -3x^{2} and -4x^{2} to get -7x^{2}.

$$-7x^{2}+41x-8$$

Expand

$$-7x^{2}+41x-8$$

Solution Steps

Use the distributive property to multiply -2x by 1,5x-4.

$$-3x^{2}+8x+\left(4x-1\right)\left(-x+8\right)$$

Apply the distributive property by multiplying each term of 4x-1 by each term of -x+8.

$$-3x^{2}+8x+4x\left(-x\right)+32x-\left(-x\right)-8$$

Multiply -1 and -1 to get 1.

$$-3x^{2}+8x+4x\left(-x\right)+32x+x-8$$

Combine 32x and x to get 33x.

$$-3x^{2}+8x+4x\left(-x\right)+33x-8$$

Combine 8x and 33x to get 41x.

$$-3x^{2}+41x+4x\left(-x\right)-8$$

Multiply x and x to get x^{2}.

$$-3x^{2}+41x+4x^{2}\left(-1\right)-8$$

Multiply 4 and -1 to get -4.

$$-3x^{2}+41x-4x^{2}-8$$

Combine -3x^{2} and -4x^{2} to get -7x^{2}.

$$-7x^{2}+41x-8$$