What is the answer to 2x(4-x)-3/5 (15x-7)= 1/2 (4-6x)-2x^2 ?

The answer to 2x(4-x)-3/5 (15x-7)= 1/2 (4-6x)-2x^2 is x=-11/10

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2x(4-x)-3/5 (15x-7)= 1/2 (4-6x)-2x^2

2 x (4 - x) - \frac{3}{5} (15 x - 7) = \frac{1}{2} (4 - 6 x) - 2 x^{2}

x = - \frac{11}{10}

Decimal Notation

x = - 1.1

Solution steps

2 x (4 - x) - \frac{3}{5} (15 x - 7) = \frac{1}{2} (4 - 6 x) - 2 x^{2}

\frac{1}{2} (4 - 6 x) = \frac{4 - 6 x}{2}

2 x (4 - x) - \frac{3}{5} (15 x - 7) = \frac{4 - 6 x}{2} - 2 x^{2}

Multiply by LCM

20 x (4 - x) - 6 (15 x - 7) = 10 (2 - 3 x) - 20 x^{2}

Expand

10 (2 - 3 x) : 20 - 30 x

- 20 x^{2} - 10 x + 42 = 20 - 30 x - 20 x^{2}

Expand

20 x (4 - x) - 6 (15 x - 7) : - 20 x^{2} - 10 x + 42

- 20 x^{2} - 10 x + 42 = 20 - 30 x - 20 x^{2}

Move

42

to the right side

- 20 x^{2} - 10 x = - 20 x^{2} - 30 x - 22

Subtract

- 20 x^{2} - 30 x

from both sides

- 20 x^{2} - 10 x - (- 20 x^{2} - 30 x) = - 20 x^{2} - 30 x - 22 - (- 20 x^{2} - 30 x)

Simplify

20 x = - 22

Divide both sides by

20

x = - \frac{11}{10}

\frac{5 x ^{- 2}}{3 x} \cdot \frac{2 y ^{3}}{x ^{10}}

9 a^{2} - 4

4 x^{2} + 4

\frac{10 - 7.3}{11.1}

4 x^{2} + x - 105 = 0

What is the answer to 2x(4-x)-3/5 (15x-7)= 1/2 (4-6x)-2x^2 ?
The answer to 2x(4-x)-3/5 (15x-7)= 1/2 (4-6x)-2x^2 is x=-11/10
Solve for x: 2x(4-x)-3/5 (15x-7)= 1/2 (4-6x)-2x^2
The solution is x=-11/10