What is the answer to 14-(5x)(2x+3)=17-(10x+1)(x-6) ?

The answer to 14-(5x)(2x+3)=17-(10x+1)(x-6) is x=-9/74

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14-(5x)(2x+3)=17-(10x+1)(x-6)

14 - (5 x) (2 x + 3) = 17 - (10 x + 1) (x - 6)

x = - \frac{9}{74}

Decimal Notation

x = - 0.12162 \dots

Solution steps

14 - (5 x) (2 x + 3) = 17 - (10 x + 1) (x - 6)

14 - 5 x (2 x + 3) = 17 - (10 x + 1) (x - 6)

Expand

- 5 x (2 x + 3) : - 10 x^{2} - 15 x

14 - 10 x^{2} - 15 x = 17 - (10 x + 1) (x - 6)

Expand

17 - (10 x + 1) (x - 6) : - 10 x^{2} + 59 x + 23

14 - 10 x^{2} - 15 x = - 10 x^{2} + 59 x + 23

Move

14

to the right side

- 10 x^{2} - 15 x = - 10 x^{2} + 59 x + 9

Subtract

- 10 x^{2} + 59 x

from both sides

- 10 x^{2} - 15 x - (- 10 x^{2} + 59 x) = - 10 x^{2} + 59 x + 9 - (- 10 x^{2} + 59 x)

Simplify

- 74 x = 9

Divide both sides by

- 74

x = - \frac{9}{74}

x, \frac{( x + 4 )}{3} - \frac{( y - 9 )}{6} = \frac{8}{3}

x, y - 2 = 1 (x - 1)

\frac{14 + ( 3 x - 2 )}{4} = 3 x

x, 7 x - 10 y = 70

2 a = 3 + 5

What is the answer to 14-(5x)(2x+3)=17-(10x+1)(x-6) ?
The answer to 14-(5x)(2x+3)=17-(10x+1)(x-6) is x=-9/74
Solve for x: 14-(5x)(2x+3)=17-(10x+1)(x-6)
The solution is x=-9/74