(10x-4)(3x+2)=0

Simple and best practice solution for (10x-4)(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 (10x-4)(3x+2)=0 equation: 


Simplifying
(10x + -4)(3x + 2) = 0

Reorder the terms:
(-4 + 10x)(3x + 2) = 0

Reorder the terms:
(-4 + 10x)(2 + 3x) = 0

Multiply (-4 + 10x) * (2 + 3x)
(-4(2 + 3x) + 10x * (2 + 3x)) = 0
((2 * -4 + 3x * -4) + 10x * (2 + 3x)) = 0
((-8 + -12x) + 10x * (2 + 3x)) = 0
(-8 + -12x + (2 * 10x + 3x * 10x)) = 0
(-8 + -12x + (20x + 30x2)) = 0

Combine like terms: -12x + 20x = 8x
(-8 + 8x + 30x2) = 0

Solving
-8 + 8x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4x + 15x2) = 0

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

Ignore the factor 2.

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 '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-0.6666666667, 0.4}

See similar equations:

| 3a+1=5a-3 | | 4z+2=10z-1 | | c-1=2c-8 | | b+3=3b+1 | | 10a+1=8a+9 | | 3c-2=2c+4 | | -x^2+3x-1=0 | | (5-2x)+(4x-13)=2 | | 2b-7=b-3 | | x-3+9(8-6)= | | 3a+1=a+7 | | 5.6+1.6= | | 35-5x=4x+20 | | 4x+7=-48-7x | | 176-7x=20x+23 | | (3z+8)(5+z)=0 | | 10-8x=33-15x | | 12x+11=-109-7x | | 6b-3=-9 | | 12y-(y+5)=10y-1 | | 5x^2-10x-3.14=0 | | Y=2x^3-x+8 | | 8x+14=4x+94 | | 49-2x=7x+12 | | 9-8x=99-43x | | 5-x=4x+40 | | 8x-4=5x+32 | | 5x-7=-27 | | 5x+7=28-2x | | 7x=3x+32 | | 5x-2=30 | | -6y^2+11y-10=0 |

Equations solver categories