(-2x+6)(3x-15)=0

Simple and best practice solution for (-2x+6)(3x-15)=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 (-2x+6)(3x-15)=0 equation:


Simplifying
(-2x + 6)(3x + -15) = 0

Reorder the terms:
(6 + -2x)(3x + -15) = 0

Reorder the terms:
(6 + -2x)(-15 + 3x) = 0

Multiply (6 + -2x) * (-15 + 3x)
(6(-15 + 3x) + -2x * (-15 + 3x)) = 0
((-15 * 6 + 3x * 6) + -2x * (-15 + 3x)) = 0
((-90 + 18x) + -2x * (-15 + 3x)) = 0
(-90 + 18x + (-15 * -2x + 3x * -2x)) = 0
(-90 + 18x + (30x + -6x2)) = 0

Combine like terms: 18x + 30x = 48x
(-90 + 48x + -6x2) = 0

Solving
-90 + 48x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-15 + 8x + -1x2) = 0

Factor a trinomial.
6((-5 + x)(3 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5

Subproblem 2

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

Solution

x = {5, 3}

See similar equations:

| 10c^2-3c-27= | | T=(3.27+7.18)4.5 | | 3c^2-17c+10= | | 4x+5=10x-13 | | A=4(4+5)-4 | | 157-4x=23x+19 | | A=4(4+5) | | 2c^2-7c+3= | | 5-8x=38-15x | | L=30-4(9-4) | | -131-10x=7x+22 | | 12x-17x+13=40x-32 | | L=5(6)-4(9-4) | | -11-5x=7-8x | | f=4(2+9)-2 | | 4x+9=51-2x | | K=2(-4)-36 | | 3x+8=48 | | 13=6e^2k | | b^2+8b+3=3 | | T=16+4 | | 2x(4x-10)=21 | | 9n+4=76 | | 2m+(9m+81m)= | | p^2-3p+6=6 | | 2x(7x-2)=0 | | 6x-2(x-3)=4+3x | | t=25+36 | | 9+3(y-4)=27 | | 4x^2+12x+8=0 | | 7(a+2)=30.1 | | 6z+3z-6=0 |

Equations solver categories