(2x+3)(2x+5)-4x^2=15x+13

Simple and best practice solution for (2x+3)(2x+5)-4x^2=15x+13 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x+3)(2x+5)-4x^2=15x+13 equation:


Simplifying
(2x + 3)(2x + 5) + -4x2 = 15x + 13

Reorder the terms:
(3 + 2x)(2x + 5) + -4x2 = 15x + 13

Reorder the terms:
(3 + 2x)(5 + 2x) + -4x2 = 15x + 13

Multiply (3 + 2x) * (5 + 2x)
(3(5 + 2x) + 2x * (5 + 2x)) + -4x2 = 15x + 13
((5 * 3 + 2x * 3) + 2x * (5 + 2x)) + -4x2 = 15x + 13
((15 + 6x) + 2x * (5 + 2x)) + -4x2 = 15x + 13
(15 + 6x + (5 * 2x + 2x * 2x)) + -4x2 = 15x + 13
(15 + 6x + (10x + 4x2)) + -4x2 = 15x + 13

Combine like terms: 6x + 10x = 16x
(15 + 16x + 4x2) + -4x2 = 15x + 13

Combine like terms: 4x2 + -4x2 = 0
15 + 16x + 0 = 15x + 13
15 + 16x = 15x + 13

Reorder the terms:
15 + 16x = 13 + 15x

Solving
15 + 16x = 13 + 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.
15 + 16x + -15x = 13 + 15x + -15x

Combine like terms: 16x + -15x = 1x
15 + 1x = 13 + 15x + -15x

Combine like terms: 15x + -15x = 0
15 + 1x = 13 + 0
15 + 1x = 13

Add '-15' to each side of the equation.
15 + -15 + 1x = 13 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 13 + -15
1x = 13 + -15

Combine like terms: 13 + -15 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

See similar equations:

| 11x-5=4(3x-4) | | 5(-10x-9)-9(9-3x)=-8x-9x | | x+1+4x-6=4x+2 | | x=8x-6 | | 15x-172=5x-12 | | 6-x=4(x-3)-7(x-4) | | 11=-2.2t | | 32=8y+4x | | (5a+4)(5a+4)(5a+4)= | | 6x-9=3x-24 | | x^2+4=5x+4 | | 8y+x=21 | | 17-5r=50+6r | | .625*.6=x | | 12x+12=8x-18 | | 16-2(x-4)=x-30 | | -36x^2+168x=120 | | 21=66+x | | -10=10k(k-9) | | x*2+4=5x+4 | | t+18-7=41 | | 3(x-5)=x+17 | | -x+9-x=1 | | 3(2-6m)=-15-3m-6 | | -10.3+2x=-4.9 | | 2+5m-3=34 | | 7x+2y+100=180 | | 3(2-x)+10=14.5 | | 126=2l-34+2l | | 3004-(-10007)=r | | p+7.1=2.5 | | 25(211-y)+15y=3534 |

Equations solver categories