(3x-1)(5x+12)-(5-2x)(3x-1)=0

Simple and best practice solution for (3x-1)(5x+12)-(5-2x)(3x-1)=0 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 (3x-1)(5x+12)-(5-2x)(3x-1)=0 equation: 


Simplifying
(3x + -1)(5x + 12) + -1(5 + -2x)(3x + -1) = 0

Reorder the terms:
(-1 + 3x)(5x + 12) + -1(5 + -2x)(3x + -1) = 0

Reorder the terms:
(-1 + 3x)(12 + 5x) + -1(5 + -2x)(3x + -1) = 0

Multiply (-1 + 3x) * (12 + 5x)
(-1(12 + 5x) + 3x * (12 + 5x)) + -1(5 + -2x)(3x + -1) = 0
((12 * -1 + 5x * -1) + 3x * (12 + 5x)) + -1(5 + -2x)(3x + -1) = 0
((-12 + -5x) + 3x * (12 + 5x)) + -1(5 + -2x)(3x + -1) = 0
(-12 + -5x + (12 * 3x + 5x * 3x)) + -1(5 + -2x)(3x + -1) = 0
(-12 + -5x + (36x + 15x2)) + -1(5 + -2x)(3x + -1) = 0

Combine like terms: -5x + 36x = 31x
(-12 + 31x + 15x2) + -1(5 + -2x)(3x + -1) = 0

Reorder the terms:
-12 + 31x + 15x2 + -1(5 + -2x)(-1 + 3x) = 0

Multiply (5 + -2x) * (-1 + 3x)
-12 + 31x + 15x2 + -1(5(-1 + 3x) + -2x * (-1 + 3x)) = 0
-12 + 31x + 15x2 + -1((-1 * 5 + 3x * 5) + -2x * (-1 + 3x)) = 0
-12 + 31x + 15x2 + -1((-5 + 15x) + -2x * (-1 + 3x)) = 0
-12 + 31x + 15x2 + -1(-5 + 15x + (-1 * -2x + 3x * -2x)) = 0
-12 + 31x + 15x2 + -1(-5 + 15x + (2x + -6x2)) = 0

Combine like terms: 15x + 2x = 17x
-12 + 31x + 15x2 + -1(-5 + 17x + -6x2) = 0
-12 + 31x + 15x2 + (-5 * -1 + 17x * -1 + -6x2 * -1) = 0
-12 + 31x + 15x2 + (5 + -17x + 6x2) = 0

Reorder the terms:
-12 + 5 + 31x + -17x + 15x2 + 6x2 = 0

Combine like terms: -12 + 5 = -7
-7 + 31x + -17x + 15x2 + 6x2 = 0

Combine like terms: 31x + -17x = 14x
-7 + 14x + 15x2 + 6x2 = 0

Combine like terms: 15x2 + 6x2 = 21x2
-7 + 14x + 21x2 = 0

Solving
-7 + 14x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-1 + 2x + 3x2) = 0

Factor a trinomial.
7((-1 + -1x)(1 + -3x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-1, 0.3333333333}

See similar equations:

| -25/-4 | | 1X-2x/2 | | (27)/(x)=x^2 | | 2x+123=100 | | =3(2x-5)-2(6+7x) | | =4(x-3)-2(x-4) | | =5y-2(y+4) | | 9x^2-99x-100=10 | | 9x^2-99x-100=0 | | =10p-4(2p-5)+4 | | (x/y)=(1.2/2) | | 3x^2-2000x+2500000=0 | | 4+8x=14+3x | | 8-2y-4+5y= | | y=52sqrtx | | 8y-2y-4+5y= | | 24=(x+5)(y) | | y=(1-(x/9)) | | Y=590/x^1/2 | | 71b-213=142b-497 | | (5-6x)(4x+11)-(3x+7)(5-6x)=0 | | e(x)=4 | | 5-13x=0 | | -6.6x=2.7 | | 8x-2(9-x)=5 | | 2x+y-9= | | 5a+5b+4a+4b= | | n^2+2n-10.3=0 | | 5000*5000*5000*5000=A | | 5000*5000*5000*5000= | | 2*8=2x+5 | | -(m-6)-4(m+1)+3=0 |

Equations solver categories