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

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


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

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

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

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

Combine like terms: 21x + -12x = 9x
(-21 + 9x + 12x2) = 0

Solving
-21 + 9x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + 3x + 4x2) = 0

Factor a trinomial.
3((-7 + -4x)(1 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-1.75, 1}

See similar equations:

| 12k-7=-7 | | a+2-7a=2 | | -4(3n-6)=n+6 | | Y^2-14y+46=0 | | -3x^2-5=22 | | 3(x-7)=2x-21 | | -p-6=0 | | b-22=12 | | 2x+0.125= | | 2+4x=-18 | | 16=k+3+7 | | 3-3h=6 | | 6(m-2)=24 | | 3x-9+6x=90 | | 20+n=150 | | 4x-2=-38 | | 19x+11y=-7 | | 2(x+8)+2(x-3)=70 | | 6x-1=-x-8 | | 3(2x+4)-1=11 | | 6x-7-5x=-15 | | 13x+-21x-7=-63 | | .4x+8.2=5.6 | | 1.3x+0.2x=48.9 | | -6=-4+6b-7b | | 2.5b+6=10 | | -3x-(5x-5)=1 | | 69=6x+4x+9 | | 2d+13=41 | | 4-8x=36+8x | | -54+-9u-2u=-10 | | 4x-5+7x=39 |

Equations solver categories