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

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


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

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

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

Multiply (8 + 3x) * (-7 + 2x)
(8(-7 + 2x) + 3x * (-7 + 2x)) = 0
((-7 * 8 + 2x * 8) + 3x * (-7 + 2x)) = 0
((-56 + 16x) + 3x * (-7 + 2x)) = 0
(-56 + 16x + (-7 * 3x + 2x * 3x)) = 0
(-56 + 16x + (-21x + 6x2)) = 0

Combine like terms: 16x + -21x = -5x
(-56 + -5x + 6x2) = 0

Solving
-56 + -5x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-2.666666667, 3.5}

See similar equations:

| 8p+2=1 | | -4y-2x=0 | | t(t+4.1)=0.08t | | K-7/2=3 | | 8-4.5*sin(x)=0 | | 1/1/3a=12 | | .3f^2-3.5f+2=0 | | (2x+1)x+5=2 | | 6x-3y+5=4 | | 37=38-7(-2-3w) | | F(x)=sen(4*x) | | 8x+x-7+4x=180 | | (2x+1)x+5=0 | | 5y+20=3x | | 9x-4=(4x+3)-2 | | 9-4p=65 | | 5x^6-10x^2+20x^4=0 | | k+77=2k-73 | | (20q^2+5q^3)(-5q^2)= | | 4n-1=-21 | | 8(2+7)= | | 8y+8+16y-2=2Y+5+4y-8 | | 11x^2+7x=-5 | | 6-4(3x+x)=6 | | 3*cos^2x+cosx-4=0 | | 4(x^3-3)/(7x^2-8) | | -5=1b+5 | | 3*cos*2*x+cos*x-4=0 | | 2z(x^2+3xy-4y^2)-2z(x+y)(x-y)= | | 3x/2-5/3=3 | | 2r^2+8r+8=0 | | 0=x^2+20x-81 |

Equations solver categories