What is the answer to 5x(8-x)-3x(5-3x)=-26-2x(7-2x) ?

The answer to 5x(8-x)-3x(5-3x)=-26-2x(7-2x) is x=-2/3

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5x(8-x)-3x(5-3x)=-26-2x(7-2x)

5 x (8 - x) - 3 x (5 - 3 x) = - 26 - 2 x (7 - 2 x)

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

5 x (8 - x) - 3 x (5 - 3 x) = - 26 - 2 x (7 - 2 x)

Expand

- 2 x (7 - 2 x) : - 14 x + 4 x^{2}

4 x^{2} + 25 x = - 26 - 14 x + 4 x^{2}

Expand

5 x (8 - x) - 3 x (5 - 3 x) : 4 x^{2} + 25 x

4 x^{2} + 25 x = - 26 - 14 x + 4 x^{2}

Subtract

- 14 x + 4 x^{2}

from both sides

4 x^{2} + 25 x - (- 14 x + 4 x^{2}) = - 26 - 14 x + 4 x^{2} - (- 14 x + 4 x^{2})

Simplify

39 x = - 26

Divide both sides by

39

x = - \frac{2}{3}

x, 6 x + 5 y = 90

y, 3 x - x^{2} - 6 x y = 0

5 x + 3 = 7 x - 7

x + 12 = 8 x - 2

102 = 7 (2 x + 6) + 6 x

What is the answer to 5x(8-x)-3x(5-3x)=-26-2x(7-2x) ?
The answer to 5x(8-x)-3x(5-3x)=-26-2x(7-2x) is x=-2/3
Solve for x: 5x(8-x)-3x(5-3x)=-26-2x(7-2x)
The solution is x=-2/3