What is the answer to 2(x-4)(x+5)+5=(2x+3)(x+1) ?

The answer to 2(x-4)(x+5)+5=(2x+3)(x+1) is x=-38/3

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2(x-4)(x+5)+5=(2x+3)(x+1)

2 (x - 4) (x + 5) + 5 = (2 x + 3) (x + 1)

x = - \frac{38}{3}

Decimal Notation

x = - 12.66666 \dots

Solution steps

2 (x - 4) (x + 5) + 5 = (2 x + 3) (x + 1)

Expand

2 (x - 4) (x + 5) + 5 : 2 x^{2} + 2 x - 35

Expand

(2 x + 3) (x + 1) : 2 x^{2} + 5 x + 3

2 x^{2} + 2 x - 35 = 2 x^{2} + 5 x + 3

Move

35

to the right side

2 x^{2} + 2 x = 2 x^{2} + 5 x + 38

Subtract

2 x^{2} + 5 x

from both sides

2 x^{2} + 2 x - (2 x^{2} + 5 x) = 2 x^{2} + 5 x + 38 - (2 x^{2} + 5 x)

Simplify

- 3 x = 38

Divide both sides by

- 3

x = - \frac{38}{3}

y, 3 x + 2 y = - 6

6 (x - 8) = 72

7 - 2 (4 x - 3) = 45

- 33 = 3 + 7 (a - 8)

\frac{x}{3} + 2 = \frac{x}{4}

What is the answer to 2(x-4)(x+5)+5=(2x+3)(x+1) ?
The answer to 2(x-4)(x+5)+5=(2x+3)(x+1) is x=-38/3
Solve for x: 2(x-4)(x+5)+5=(2x+3)(x+1)
The solution is x=-38/3