(4x-7)(6x+18)=0

Simple and best practice solution for (4x-7)(6x+18)=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+18)=0 equation: 


Simplifying
(4x + -7)(6x + 18) = 0

Reorder the terms:
(-7 + 4x)(6x + 18) = 0

Reorder the terms:
(-7 + 4x)(18 + 6x) = 0

Multiply (-7 + 4x) * (18 + 6x)
(-7(18 + 6x) + 4x * (18 + 6x)) = 0
((18 * -7 + 6x * -7) + 4x * (18 + 6x)) = 0
((-126 + -42x) + 4x * (18 + 6x)) = 0
(-126 + -42x + (18 * 4x + 6x * 4x)) = 0
(-126 + -42x + (72x + 24x2)) = 0

Combine like terms: -42x + 72x = 30x
(-126 + 30x + 24x2) = 0

Solving
-126 + 30x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-21 + 5x + 4x2) = 0

Factor a trinomial.
6((-3 + -1x)(7 + -4x)) = 0

Ignore the factor 6.

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 1.75}

See similar equations:

| 11k-8k= | | 3(4x-2)=24x+2 | | 5x-(x-4)=3(8-2x) | | 8r+5r+10e=225 | | cot(2x)-1=0 | | 4n3/3n | | x^3-13.5x^2+54x+154=0 | | 8x+10+2=4x+32 | | (24t-30)/12 | | 23x-1=15 | | 82=8x+50 | | 4+4x-8=4+6x | | 9(x-1)=x+15 | | 4x^2+17x-11=0 | | y=-x^2-3x+40 | | T=(4-5x)(2x-8)+3 | | Y=.11+2.87 | | 7x+10=3x+7 | | -2/5/8 | | 5x-20-6x=-18 | | A=(3x-2)(-6x+4) | | 12-4(x-3)=39-9x | | y=0.11+.025x | | 32=2(x-15) | | 8(x-2)=5+11 | | y-8x=72 | | 6/5=x/11 | | 6y-11=74 | | 8k^2-16k-24=0 | | y=5x+10+5 | | 4/9x-3 | | -4(3v+x)+5(-6x-4v)= |

Equations solver categories