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

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


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

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

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

Multiply (2 + 3x) * (-5 + 5x)
(2(-5 + 5x) + 3x * (-5 + 5x)) = 0
((-5 * 2 + 5x * 2) + 3x * (-5 + 5x)) = 0
((-10 + 10x) + 3x * (-5 + 5x)) = 0
(-10 + 10x + (-5 * 3x + 5x * 3x)) = 0
(-10 + 10x + (-15x + 15x2)) = 0

Combine like terms: 10x + -15x = -5x
(-10 + -5x + 15x2) = 0

Solving
-10 + -5x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + -1x + 3x2) = 0

Factor a trinomial.
5((-2 + -3x)(1 + -1x)) = 0

Ignore the factor 5.

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

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
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
Solution
x = {-0.6666666667, 1}

See similar equations:

| (4z-9)(5z-6)=0 | | -3y+6x=9 | | (4z-5)(5z-1)=0 | | 4(x+5)=80 | | 5(x+5)=x-11 | | 2w^2-16w+32=0 | | b^2+25=10b | | 5(x+5)=11x | | 6y^2=6y+252 | | 49=(pi)x^2-25(pi) | | 3-10=2b-9 | | 49=pix^2-25pi | | 3-10b=2n-9 | | 4+16n-2=4n+128-2n | | -5(3x+3)=-14 | | a=4b-3c | | 2(3x-4)+9=5x+2 | | 7r+3=31r+11 | | x-7*2=32 | | 9(2x-7)=19x | | 35*55= | | 6r*r=294 | | 55*19= | | 9k^3-15k^2-3k+5= | | 2t+12-3t=60 | | b^2+3b=28 | | 11y+5-9y=3y-14 | | 6r+r+6r+r=294 | | 2/3-1/3(2x-3/5)= | | 3r^2+27=18r | | 3x+7x=4 | | 4t^2+196=56t |

Equations solver categories