(4x-6)(7x+9)=0

Simple and best practice solution for (4x-6)(7x+9)=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-6)(7x+9)=0 equation: 


Simplifying
(4x + -6)(7x + 9) = 0

Reorder the terms:
(-6 + 4x)(7x + 9) = 0

Reorder the terms:
(-6 + 4x)(9 + 7x) = 0

Multiply (-6 + 4x) * (9 + 7x)
(-6(9 + 7x) + 4x * (9 + 7x)) = 0
((9 * -6 + 7x * -6) + 4x * (9 + 7x)) = 0
((-54 + -42x) + 4x * (9 + 7x)) = 0
(-54 + -42x + (9 * 4x + 7x * 4x)) = 0
(-54 + -42x + (36x + 28x2)) = 0

Combine like terms: -42x + 36x = -6x
(-54 + -6x + 28x2) = 0

Solving
-54 + -6x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + -3x + 14x2) = 0

Factor a trinomial.
2((-9 + -7x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -7x)' equal to zero and attempt to solve:

Simplifying
-9 + -7x = 0

Solving
-9 + -7x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -7x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = 0 + 9
-7x = 0 + 9

Combine like terms: 0 + 9 = 9
-7x = 9

Divide each side by '-7'.
x = -1.285714286

Simplifying
x = -1.285714286

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 = {-1.285714286, 1.5}

See similar equations:

| sen^3(X)-2=-3sen^3(X) | | 120=12y+15x | | x=.013333 | | .013333= | | 6y-1=28 | | 2-ln(x^2)=10 | | -53b=1643 | | 468+3x=x | | -5(x-1)+3x=6-(4x-3) | | 3/5c=-61/4 | | (3x+4)(x^2+2x-8)=0 | | z-4/4=4 | | 2x+y+4z=-5 | | 2k=-7+3k | | V=1/3*706^2*407.5 | | 20=.80*y | | lx-4l=(-3) | | 6w-9=9+9w | | 25a^3-1a=0 | | 3n-21=29 | | 6x-24/63x-49*9x-7/2x-8 | | -1/2g=-31/3 | | 2z(3z+14)=48 | | 8x-9y-2x+8y= | | x+(70+x)+3m=430 | | y=ln(x^2-5x+6) | | 1.7-6.3= | | 10x+x=88 | | 30x/10-1=x/4-x | | y=2x^4-6x^2-36 | | 1500/3000 | | 9-7*2= |

Equations solver categories