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

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


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

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

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

Multiply (-4 + 3x) * (10 + x)
(-4(10 + x) + 3x * (10 + x)) = 0
((10 * -4 + x * -4) + 3x * (10 + x)) = 0
((-40 + -4x) + 3x * (10 + x)) = 0
(-40 + -4x + (10 * 3x + x * 3x)) = 0
(-40 + -4x + (30x + 3x2)) = 0

Combine like terms: -4x + 30x = 26x
(-40 + 26x + 3x2) = 0

Solving
-40 + 26x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
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
Solution
x = {-10, 1.333333333}

See similar equations:

| a=12-44 | | -8-7z=-(z+3) | | 5j-17=12j-41 | | 25y^2-10y+16=0 | | h/0.6=1.7 | | 8.25x=132 | | 7a-3=a | | v/7.9=-4 | | 2.80-1.30y=4.60 | | y(1-.6)=50 | | 25y^2-20y+16=0 | | 8.25x=49.5 | | 0.5t+7=4 | | 15p^2=-34p-16 | | -6(x-5)+3x=6x-10(-3+x) | | x-16=8x+3x | | 25y^2-40y+16=0 | | 4+2r-1=7r+7-4r | | -4.2=-5.6k | | 9b-2=106 | | y(1-.8)=50 | | 9t-13=2t+5 | | 30b^2=78b-48 | | .5d-3=2 | | 9v-13=2v+5 | | -3(3a+2)=-5a+7 | | -6b=55.2 | | 15+5y=-19 | | -16t^2+16t+5=0 | | 14.00*1.00x=35 | | 8t-30=4t+6 | | 5z+3z=56 |

Equations solver categories