(3x+4)(-2x+6)=0

Simple and best practice solution for (3x+4)(-2x+6)=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+4)(-2x+6)=0 equation: 


Simplifying
(3x + 4)(-2x + 6) = 0

Reorder the terms:
(4 + 3x)(-2x + 6) = 0

Reorder the terms:
(4 + 3x)(6 + -2x) = 0

Multiply (4 + 3x) * (6 + -2x)
(4(6 + -2x) + 3x * (6 + -2x)) = 0
((6 * 4 + -2x * 4) + 3x * (6 + -2x)) = 0
((24 + -8x) + 3x * (6 + -2x)) = 0
(24 + -8x + (6 * 3x + -2x * 3x)) = 0
(24 + -8x + (18x + -6x2)) = 0

Combine like terms: -8x + 18x = 10x
(24 + 10x + -6x2) = 0

Solving
24 + 10x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 5x + -3x2) = 0

Factor a trinomial.
2((3 + -1x)(4 + 3x)) = 0

Ignore the factor 2.

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {3, -1.333333333}

See similar equations:

| -32+2x=-x+40 | | 3x-2+34=5x | | x^2+x=2.8 | | -2+x=-4x+4 | | 2(6x-7)=16x-90 | | -18-6x=648x | | 4h=t+4u | | 42-3x=30 | | 3k-8=44 | | 1100000=(-40000)*x+1512000 | | 254=x-122 | | 8x^2-46x+63=0 | | 3y^2-4y-8=0 | | x-122=254 | | x(x-1)(x-2)(x-3)=180(x-1)(x-2) | | 6yx-5x^2=4 | | 6xy-5y^2=4 | | 5x^4+12x^2=0 | | =3x^4-4x^3-12x^2+15 | | 2(5x-4)=x+9 | | 4x^2-16x=65 | | 8x^3-8x^2=3 | | 60+42.95m=25+49.95m | | (x-7)=64 | | 4f+6f= | | 8x^3-8x^2-3=0 | | 147=3*x*x | | -2y-4=4(4y-1) | | 15=5y-4x | | 36=2*6*c | | (4x+3)2=5 | | 9=2(7-b) |

Equations solver categories