(2x-8)(3x+7)=0

Simple and best practice solution for (2x-8)(3x+7)=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 (2x-8)(3x+7)=0 equation: 


Simplifying
(2x + -8)(3x + 7) = 0

Reorder the terms:
(-8 + 2x)(3x + 7) = 0

Reorder the terms:
(-8 + 2x)(7 + 3x) = 0

Multiply (-8 + 2x) * (7 + 3x)
(-8(7 + 3x) + 2x * (7 + 3x)) = 0
((7 * -8 + 3x * -8) + 2x * (7 + 3x)) = 0
((-56 + -24x) + 2x * (7 + 3x)) = 0
(-56 + -24x + (7 * 2x + 3x * 2x)) = 0
(-56 + -24x + (14x + 6x2)) = 0

Combine like terms: -24x + 14x = -10x
(-56 + -10x + 6x2) = 0

Solving
-56 + -10x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + -5x + 3x2) = 0

Factor a trinomial.
2((-7 + -3x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2.333333333, 4}

See similar equations:

| 150x-35=45 | | -3+4(8a+10)=53 | | X+-14=-60 | | X+-3=-8 | | Y=4+0.25x | | -2(5t-3)+7t=2t-8 | | 9x-80=x+32 | | Y+-15=15 | | 8x-3=10x+1+2 | | 9x-20=7z | | 0.83x-0.6=-4 | | 1x=x-32-27 | | pix=3 | | X+-18=-18 | | 95=5y+3x | | 6x-42=54-2x | | Y+-42=-16 | | 8+6x=6x+5 | | H=-36t^2+pt+c | | Y+-22=-71 | | 3x+3y+6z=15 | | 2x^2-515=0 | | 4x+2=9+3 | | X+-18=-40 | | 1-(5/16) | | 1-(11/28) | | 18=9x-54 | | X+25=-14 | | 1/4n-6/4=1/4n | | 6xln(x)-3x=0 | | -34=7x+3x+6 | | 6ln(x)+3x=0 |

Equations solver categories