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

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


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

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

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

Multiply (-3 + 4x) * (7 + 3x)
4(-3(7 + 3x) + 4x * (7 + 3x)) = 0
4((7 * -3 + 3x * -3) + 4x * (7 + 3x)) = 0
4((-21 + -9x) + 4x * (7 + 3x)) = 0
4(-21 + -9x + (7 * 4x + 3x * 4x)) = 0
4(-21 + -9x + (28x + 12x2)) = 0

Combine like terms: -9x + 28x = 19x
4(-21 + 19x + 12x2) = 0
(-21 * 4 + 19x * 4 + 12x2 * 4) = 0
(-84 + 76x + 48x2) = 0

Solving
-84 + 76x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + 19x + 12x2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 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 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
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
Solution
x = {-2.333333333, 0.75}

See similar equations:

| 7x-5=4x+3+3x | | 3x^2+5x=-x-9+2x^2 | | -7x+12=5 | | 0.5s+1=7+5s | | 0.5s+1=7+4.5 | | 5+n=32 | | 3(5-2x)=2(3x+4) | | -5x-15=-60 | | 7m-1=6 | | 2[5+(-13)]=x | | 7x-(2x+7)=8 | | 3(x-10)=24 | | 4x-29=9(x-6) | | 2(8x-9)=43 | | 2q-2=20 | | 3k-2=-26 | | 3x-27y=-21 | | 6d+16=-20 | | b/4-7=1;36 | | x-(x-3)=4 | | 4n-n^2=-21 | | X+10+2x+10=25 | | (x+4)(x-5)(5x-4)=0 | | (-2/3)+1=y | | -11=-4x+5 | | 5(x-4)-7=-3x+8(x-3) | | 5x+8x-12=36+3x | | -2x/5=16 | | 14v^6-18v^3/2v^3 | | log^2(7x+9)=6 | | 5x=7x-42 | | 12/(3)(4) |

Equations solver categories