(6x+7)(3x-10)=

Simple and best practice solution for (6x+7)(3x-10)= 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 (6x+7)(3x-10)= equation: 


Simplifying
(6x + 7)(3x + -10) = 0

Reorder the terms:
(7 + 6x)(3x + -10) = 0

Reorder the terms:
(7 + 6x)(-10 + 3x) = 0

Multiply (7 + 6x) * (-10 + 3x)
(7(-10 + 3x) + 6x * (-10 + 3x)) = 0
((-10 * 7 + 3x * 7) + 6x * (-10 + 3x)) = 0
((-70 + 21x) + 6x * (-10 + 3x)) = 0
(-70 + 21x + (-10 * 6x + 3x * 6x)) = 0
(-70 + 21x + (-60x + 18x2)) = 0

Combine like terms: 21x + -60x = -39x
(-70 + -39x + 18x2) = 0

Solving
-70 + -39x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -6x)(10 + -3x) = 0


Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve:

Simplifying
-7 + -6x = 0

Solving
-7 + -6x = 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 + -6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = 0 + 7
-6x = 0 + 7

Combine like terms: 0 + 7 = 7
-6x = 7

Divide each side by '-6'.
x = -1.166666667

Simplifying
x = -1.166666667

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 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 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-1.166666667, 3.333333333}

See similar equations:

| x/4-4 | | 18+c=8 | | p+6=-5 | | -6(2x-1)-(3x+5)=31 | | 2x(x+3)+5(x+3)=0 | | 12m+2n-5m+8n= | | 3st+2su-4sv= | | 5-x=2x-31 | | 2v^2+6=102 | | 42=8j+13j | | 2y-13=-19 | | 1/(2sin(2x)) | | 4x-10=-11+3x | | 3p+pq-4pr= | | -3(2b+1)+(7b-2)=0 | | 8n+6(1-n)2(1+n)=4 | | -6r+5(-3+6r)=39+6r | | w+4w=20 | | 5x+6x-54=72-7x | | -2x+8=6-(9x+7) | | 4x+7=41-4x | | 7(2y-1)+3y=-3(y+2)+3 | | x+4(x-13)=17 | | 2(2x-4)+x=16-x | | (9b-9)-4(2b+3)=-4 | | 3b-1=23 | | 8x+2y=-16 | | 6(x+8)=14+4*x | | 8(-3m+5)=15+m | | 6x+3=-2x+11 | | x^3-5i=0 | | 700=500+50x |

Equations solver categories