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

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


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

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

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

Multiply (-7 + 4x) * (7 + 6x)
(-7(7 + 6x) + 4x * (7 + 6x)) = 0
((7 * -7 + 6x * -7) + 4x * (7 + 6x)) = 0
((-49 + -42x) + 4x * (7 + 6x)) = 0
(-49 + -42x + (7 * 4x + 6x * 4x)) = 0
(-49 + -42x + (28x + 24x2)) = 0

Combine like terms: -42x + 28x = -14x
(-49 + -14x + 24x2) = 0

Solving
-49 + -14x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -6x)(7 + -4x) = 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 '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-1.166666667, 1.75}

See similar equations:

| -144=q^2-26q | | c=1.29 | | -8+k=-22 | | 4x-7=-6x-7 | | 2p+6+6p-18= | | 4x-9=6x+2 | | -16t^2+25t= | | (-5)n-2=-12 | | x-(-17)=-34 | | -1+2u=-9+4u | | -11+j=29 | | 5(3)+4y=20 | | 4(x+13)=64 | | 200=40-x | | 2cos(2x)+3sin(3x)=4 | | 6d+12+8d-16= | | N^2-9N=18 | | y^2-8y+15y=0 | | -13+g=-37 | | 2x^2-5=2x^2+x-50 | | -6k=-3k-6 | | 8y-6+42=180 | | 4(x-13)=64 | | (2.5*100)*(6*1000)= | | 15-8x^2-14x=0 | | -42=-6(1+6v)+3(8+8v) | | e^2x-9=8 | | t=-16t^2+25t+5 | | 4-7s=-7s-8+2s | | -x-1=c-21 | | 4(5t-7)= | | 2(2n-5)=2x-4 |

Equations solver categories