(6x+10)(6x-10)=15+(3x-5)(12x+5)

Simple and best practice solution for (6x+10)(6x-10)=15+(3x-5)(12x+5) 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 (6x+10)(6x-10)=15+(3x-5)(12x+5) equation: 


Simplifying
(6x + 10)(6x + -10) = 15 + (3x + -5)(12x + 5)

Reorder the terms:
(10 + 6x)(6x + -10) = 15 + (3x + -5)(12x + 5)

Reorder the terms:
(10 + 6x)(-10 + 6x) = 15 + (3x + -5)(12x + 5)

Multiply (10 + 6x) * (-10 + 6x)
(10(-10 + 6x) + 6x * (-10 + 6x)) = 15 + (3x + -5)(12x + 5)
((-10 * 10 + 6x * 10) + 6x * (-10 + 6x)) = 15 + (3x + -5)(12x + 5)
((-100 + 60x) + 6x * (-10 + 6x)) = 15 + (3x + -5)(12x + 5)
(-100 + 60x + (-10 * 6x + 6x * 6x)) = 15 + (3x + -5)(12x + 5)
(-100 + 60x + (-60x + 36x2)) = 15 + (3x + -5)(12x + 5)

Combine like terms: 60x + -60x = 0
(-100 + 0 + 36x2) = 15 + (3x + -5)(12x + 5)
(-100 + 36x2) = 15 + (3x + -5)(12x + 5)

Reorder the terms:
-100 + 36x2 = 15 + (-5 + 3x)(12x + 5)

Reorder the terms:
-100 + 36x2 = 15 + (-5 + 3x)(5 + 12x)

Multiply (-5 + 3x) * (5 + 12x)
-100 + 36x2 = 15 + (-5(5 + 12x) + 3x * (5 + 12x))
-100 + 36x2 = 15 + ((5 * -5 + 12x * -5) + 3x * (5 + 12x))
-100 + 36x2 = 15 + ((-25 + -60x) + 3x * (5 + 12x))
-100 + 36x2 = 15 + (-25 + -60x + (5 * 3x + 12x * 3x))
-100 + 36x2 = 15 + (-25 + -60x + (15x + 36x2))

Combine like terms: -60x + 15x = -45x
-100 + 36x2 = 15 + (-25 + -45x + 36x2)

Combine like terms: 15 + -25 = -10
-100 + 36x2 = -10 + -45x + 36x2

Add '-36x2' to each side of the equation.
-100 + 36x2 + -36x2 = -10 + -45x + 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-100 + 0 = -10 + -45x + 36x2 + -36x2
-100 = -10 + -45x + 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-100 = -10 + -45x + 0
-100 = -10 + -45x

Solving
-100 = -10 + -45x

Solving for variable 'x'.

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

Add '45x' to each side of the equation.
-100 + 45x = -10 + -45x + 45x

Combine like terms: -45x + 45x = 0
-100 + 45x = -10 + 0
-100 + 45x = -10

Add '100' to each side of the equation.
-100 + 100 + 45x = -10 + 100

Combine like terms: -100 + 100 = 0
0 + 45x = -10 + 100
45x = -10 + 100

Combine like terms: -10 + 100 = 90
45x = 90

Divide each side by '45'.
x = 2

Simplifying
x = 2

See similar equations:

| 234=234 | | 23-3+122=343 | | 130=30x+10y | | -8=(1/9)(-9t+27) | | 10p^2-p-2=0 | | 4x^3-4x+1=0 | | 3x-4(x-2)=2x-10 | | (w/9)-6=7/9 | | -18/4= | | 20-38= | | T+78+63+71=288 | | 8(x+24)=432 | | 10-4x=-38 | | 78+63+71-t=288 | | -3y+6x+27=-3x | | 3y+16=67 | | T-78+63+71=288 | | 4.5x+7x+3=36 | | 2x^2-15xy+7y^2= | | 6y-x-24=0 | | A=P+5Prt | | 288-t=288 | | 8*24+18x=432 | | -2y+8x-3=0 | | 9t-(2t-4)=25 | | 2x+9x+7=32 | | 6x-5=-(x+5) | | 7x+3x+2=25 | | -60(0.1x+0.3)-2.2=-0.4 | | -60(0.1+0.3)-2.2=-0.4 | | 2x+x^2=4x | | -29=7-6u |

Equations solver categories