(4x-8)(7x+4)=0

Simple and best practice solution for (4x-8)(7x+4)=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 (4x-8)(7x+4)=0 equation: 


Simplifying
(4x + -8)(7x + 4) = 0

Reorder the terms:
(-8 + 4x)(7x + 4) = 0

Reorder the terms:
(-8 + 4x)(4 + 7x) = 0

Multiply (-8 + 4x) * (4 + 7x)
(-8(4 + 7x) + 4x * (4 + 7x)) = 0
((4 * -8 + 7x * -8) + 4x * (4 + 7x)) = 0
((-32 + -56x) + 4x * (4 + 7x)) = 0
(-32 + -56x + (4 * 4x + 7x * 4x)) = 0
(-32 + -56x + (16x + 28x2)) = 0

Combine like terms: -56x + 16x = -40x
(-32 + -40x + 28x2) = 0

Solving
-32 + -40x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + -10x + 7x2) = 0

Factor a trinomial.
4((-4 + -7x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve:

Simplifying
-4 + -7x = 0

Solving
-4 + -7x = 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 + -7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 0 + 4
-7x = 0 + 4

Combine like terms: 0 + 4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.5714285714, 2}

See similar equations:

| 100(0.01)+x(0.04)=100+x(0.02) | | 2x+5=15x | | 0.04+0.07(8000-x)=480 | | 1+1+2= | | 10-5+5= | | f(3)=5N^2+4N | | 4x-4=20+3y | | -2t+1-2t+2+(-5t-1)= | | Cox+sinx=0 | | x+450000+x=575000000 | | x-79+x+377+x=3079 | | 2(x+16)+2(x)=100 | | 9x+4y=273 | | 8x=20.48 | | 7-X=84 | | x-7=84 | | 5(5c-1)-3=23c+8 | | 5(5c+-1)-3=23c+8 | | 5x^2+2x-40x=0 | | 3x=(x+15)+43 | | 8x-7y+2=5x-5y-6 | | -4(x-6)-9=15 | | (exp+z)dy-(sin(z)-y)dz=0 | | nx+b=9x-9n | | 12x-7y=37 | | 14x+7-6x+48=12 | | x^60=5.8 | | 0.14x+0.2(x-5)=0.01(5x-2) | | 5.8=x^60 | | 16+4k+16=0 | | 1*x^2+2*x*y+1*y^2-8*x-8*y+1=0 | | .09x+x=354.25 |

Equations solver categories