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

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


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

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

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

Multiply (3 + 5x) * (-2 + 3x)
(3(-2 + 3x) + 5x * (-2 + 3x)) = 0
((-2 * 3 + 3x * 3) + 5x * (-2 + 3x)) = 0
((-6 + 9x) + 5x * (-2 + 3x)) = 0
(-6 + 9x + (-2 * 5x + 3x * 5x)) = 0
(-6 + 9x + (-10x + 15x2)) = 0

Combine like terms: 9x + -10x = -1x
(-6 + -1x + 15x2) = 0

Solving
-6 + -1x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
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
Solution
x = {-0.6, 0.6666666667}

See similar equations:

| mx^2-4x=m-5 | | y=2(2.3)-7 | | 96=2(x+14)+2x | | 7x^2+36x+1=0 | | 2x+4(2x-7)=-5 | | A=v-n/r | | 10+4(3c-1)= | | y=2(2/10)-7 | | (37b-5)-9(4b+4)=-7 | | 62+5y-27=15y-13-2y | | g(x)=(x-1)(x+4) | | 9x+ky=4 | | -4(t+1)=16 | | 20=-3+7(f+6) | | 4(q-8)=7q+5answer | | 4(y-3)=-4y(3) | | 7+3(1+t)=-19 | | 14.95x+16.88y=151.43 | | -5=6y | | 5x+-7y=35 | | 27=3r | | a*a-10a+25= | | -19-7y=-9(3y-2) | | 1/4(2x-5)=7 | | 6x+9=6(x-1) | | 6k-8+9=-29 | | a-5*a-5= | | -9(4b-8)=34-6b | | 5a-3(a-3)=2(3a-2) | | y=4ln(3-x) | | x^2-27x-28=0 | | 4z=-6 |

Equations solver categories