(6x-7)(4x+3)=0

Simple and best practice solution for (6x-7)(4x+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 (6x-7)(4x+3)=0 equation: 


Simplifying
(6x + -7)(4x + 3) = 0

Reorder the terms:
(-7 + 6x)(4x + 3) = 0

Reorder the terms:
(-7 + 6x)(3 + 4x) = 0

Multiply (-7 + 6x) * (3 + 4x)
(-7(3 + 4x) + 6x * (3 + 4x)) = 0
((3 * -7 + 4x * -7) + 6x * (3 + 4x)) = 0
((-21 + -28x) + 6x * (3 + 4x)) = 0
(-21 + -28x + (3 * 6x + 4x * 6x)) = 0
(-21 + -28x + (18x + 24x2)) = 0

Combine like terms: -28x + 18x = -10x
(-21 + -10x + 24x2) = 0

Solving
-21 + -10x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x)(7 + -6x) = 0


Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 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 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

Subproblem 2
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
Solution
x = {-0.75, 1.166666667}

See similar equations:

| 8x^2+5x-6= | | 0.324*0.46= | | 0.5(c-3)-2.66=9.3 | | f(3)+f(4)+f(6)+f(7)=x | | 5c+7=47 | | 13x^2+15=8x^2+20x | | 6z=8z | | 7(4s+8)=252 | | 3p(4p+5)=0 | | x^2-11x=-5x+67 | | 3x^2+v-2= | | 3.24*4.6= | | 5m^2+7m+2= | | -4-3x=x+20 | | 8+9y=11 | | (y-8)+2y=2.67 | | 4v^2-5v-6= | | 7p+7p^2-18=0 | | 6+9y=11 | | x^2=-5x-2 | | a=(20-2x)x | | 90=180x^3 | | k^2-5k+4= | | (B-5)(b+1)=0 | | 5(-7)-9(-2)=-19 | | 12a^2-6=-5a | | 9(7x+7)=7(9-11x) | | 90=-3*x^2 | | 3=-3+30 | | 90=-3x*x^2 | | 4.8*3.6= | | 11n^2=3-2n |

Equations solver categories