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

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


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

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

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

Multiply (8 + 7x) * (-3 + 2x)
(8(-3 + 2x) + 7x * (-3 + 2x)) = 0
((-3 * 8 + 2x * 8) + 7x * (-3 + 2x)) = 0
((-24 + 16x) + 7x * (-3 + 2x)) = 0
(-24 + 16x + (-3 * 7x + 2x * 7x)) = 0
(-24 + 16x + (-21x + 14x2)) = 0

Combine like terms: 16x + -21x = -5x
(-24 + -5x + 14x2) = 0

Solving
-24 + -5x + 14x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 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 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-1.142857143, 1.5}

See similar equations:

| 6.5=14.7+2y | | 4x-560+x=3640 | | 3*4+xy=xy+78-0+(8*8) | | 5*a-2=3*a-2 | | 4/7*(-1/4) | | 20x-25/50x^2+25x-70 | | 4e+17=9 | | 2x-3+7=4(x-2) | | 300=6x+2x | | -4(x+x+4)=192 | | 2(3g+2)=-1/2(12g+8) | | x/2-3/2+4/3-x/3=10/6+2x/6 | | -4/5*3 | | 5xa-4=3xa-2 | | 150=6x+2x | | 8x-3*2=5 | | 4(5-x)=3(11-x) | | 6N-11=8N+19 | | 2x-x-12=20 | | 3-7+4=0 | | 0.5*8-x=8-x/2 | | 575/2.5 | | 2(y-5)=-4y | | 150=6X+X | | ycos(x)dx-(1+y^2)dy=0 | | 2x+4(x-5)=2(10-x) | | x-3/2+4-x/3=10+2x/6 | | -1/2+3/8 | | 10x^2+3x=18 | | 172=8x | | 13*(x^2+y^2+1)=10x+24y | | x+(x*0.4)=30 |

Equations solver categories