3(4x+5)(3x-2)=0

Simple and best practice solution for 3(4x+5)(3x-2)=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 3(4x+5)(3x-2)=0 equation: 


Simplifying
3(4x + 5)(3x + -2) = 0

Reorder the terms:
3(5 + 4x)(3x + -2) = 0

Reorder the terms:
3(5 + 4x)(-2 + 3x) = 0

Multiply (5 + 4x) * (-2 + 3x)
3(5(-2 + 3x) + 4x * (-2 + 3x)) = 0
3((-2 * 5 + 3x * 5) + 4x * (-2 + 3x)) = 0
3((-10 + 15x) + 4x * (-2 + 3x)) = 0
3(-10 + 15x + (-2 * 4x + 3x * 4x)) = 0
3(-10 + 15x + (-8x + 12x2)) = 0

Combine like terms: 15x + -8x = 7x
3(-10 + 7x + 12x2) = 0
(-10 * 3 + 7x * 3 + 12x2 * 3) = 0
(-30 + 21x + 36x2) = 0

Solving
-30 + 21x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 7x + 12x2) = 0

Factor a trinomial.
3((-5 + -4x)(2 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 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 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 0 + 5
-4x = 0 + 5

Combine like terms: 0 + 5 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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 = {-1.25, 0.6666666667}

See similar equations:

| 6(n+4)=8+7n | | 18d-4d-6d-8=2d | | -5m=4m+8 | | 7(m-3)=4(m+3) | | (2x-6)m=26 | | 4(z+2)-2z=10+3(z-3) | | 2(x+7)=40 | | -3.5(4a+1.9)a= | | -3.5(4a+1.9)= | | 4(x-8)=80 | | 8x^2+8x^6= | | (2x+3)(2-3x)-(2-3x)(4x+1)=0 | | y=3x+5y | | xy=3x+5y | | 32v^4-2u^4v^4=0 | | 3(w+3)=2w-2 | | y=10x^2+20x-1 | | 4x^2-25+6=0 | | 3x^2+16x=0 | | 3.7x=4.81 | | 14-(3m+6)=2+2m-19 | | -3.3y=6.6 | | 2=5x-3y | | -3.1y=21.7 | | 28-9x=12-11x | | 14+2x=-8 | | 7x-y=14solvex | | 2(x+7)=-8 | | -26=-364 | | 67-2x=34x+15 | | 14-(x+9)=7x-3 | | 5x+35-6x=1-9x+2 |

Equations solver categories