(5x-7)(3x+9)=0

Simple and best practice solution for (5x-7)(3x+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 (5x-7)(3x+9)=0 equation: 


Simplifying
(5x + -7)(3x + 9) = 0

Reorder the terms:
(-7 + 5x)(3x + 9) = 0

Reorder the terms:
(-7 + 5x)(9 + 3x) = 0

Multiply (-7 + 5x) * (9 + 3x)
(-7(9 + 3x) + 5x * (9 + 3x)) = 0
((9 * -7 + 3x * -7) + 5x * (9 + 3x)) = 0
((-63 + -21x) + 5x * (9 + 3x)) = 0
(-63 + -21x + (9 * 5x + 3x * 5x)) = 0
(-63 + -21x + (45x + 15x2)) = 0

Combine like terms: -21x + 45x = 24x
(-63 + 24x + 15x2) = 0

Solving
-63 + 24x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + 8x + 5x2) = 0

Factor a trinomial.
3((-3 + -1x)(7 + -5x)) = 0

Ignore the factor 3.

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 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {-3, 1.4}

See similar equations:

| -x+4=7 | | 5x+y=-1 | | 7a=3a+20 | | 2x-x+6y-4x-y= | | 0.5n+17+n=20 | | 7a^2-4a+3a^2-3a= | | 4(1.5c+6)-2c=-9 | | 4(1.5c+6)-2c=-8 | | x-129=53-6x | | -5x-103=-11x+65 | | -155+10x=-3x+92 | | -73+12x=7x+77 | | -69-3x=-9x+33 | | 0.7w+16+4w=27.28 | | 0.24(12)+0.04x=0.08(24+x) | | -(8y+2)-(-7y-4)=1 | | 3x-65=-x+47 | | 2a(3a-46)-5a(a-26)= | | 9t=-69 | | -4y+8=-5y+6 | | 3(4x-3y)-5(22+3y)= | | 4x-13=3x+13 | | 7y+1=43 | | -43+5x=25+x | | l+w+l+w=48 | | -4(x-3)=-2x+12 | | -110-x=97-10x | | -6x-46=-11x+49 | | x-42=15x | | 2-8t=-2(4t-1) | | 8+1y=15 | | 18n-5=3(6n-2) |

Equations solver categories