(3x+4)(5x-5)=

Simple and best practice solution for (3x+4)(5x-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 (3x+4)(5x-5)= equation: 


Simplifying
(3x + 4)(5x + -5) = 0

Reorder the terms:
(4 + 3x)(5x + -5) = 0

Reorder the terms:
(4 + 3x)(-5 + 5x) = 0

Multiply (4 + 3x) * (-5 + 5x)
(4(-5 + 5x) + 3x * (-5 + 5x)) = 0
((-5 * 4 + 5x * 4) + 3x * (-5 + 5x)) = 0
((-20 + 20x) + 3x * (-5 + 5x)) = 0
(-20 + 20x + (-5 * 3x + 5x * 3x)) = 0
(-20 + 20x + (-15x + 15x2)) = 0

Combine like terms: 20x + -15x = 5x
(-20 + 5x + 15x2) = 0

Solving
-20 + 5x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + x + 3x2) = 0

Factor a trinomial.
5((-4 + -3x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
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

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 = {-1.333333333, 1}

See similar equations:

| 1/3(3x-9)-1/2(4-2x)=4-2(X-8) | | 5x+45=8-7x | | x=(3x-1)(x+3) | | 3+5=32 | | 7/12=X | | 3x+4-5x-3= | | 5x+4y=(-20) | | (5x+7x)+10= | | 3x+4+5x-5= | | 4a-2b=4 | | 2*x^2-5*y-3=0 | | 5(3x-2)+4(x+3)=8-5x | | 4z/9-7=6 | | 9x+70= | | 33x+70= | | 21x+58= | | 4S+S=190 | | -4(x-2)=10 | | 0.1ln(200)+0.9ln(400)= | | 8x^2+15x+2=0 | | f(x)=3-7x-8x^3 | | x/10-6=0 | | (7x-2)(3x+1)= | | 2x^2+16x+40=0 | | 7(3x+10)-12x= | | 5x^2+7x+50=0 | | 6(8)(3)= | | 5.1r-0.2=10.3 | | (14x+10)-3x= | | (x^2+y^2)dy-y^2dx=0 | | 4+3r=4 | | 36x+115= |

Equations solver categories