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

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


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

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

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

Multiply (-7 + 3x) * (9 + 5x)
(-7(9 + 5x) + 3x * (9 + 5x)) = 0
((9 * -7 + 5x * -7) + 3x * (9 + 5x)) = 0
((-63 + -35x) + 3x * (9 + 5x)) = 0
(-63 + -35x + (9 * 3x + 5x * 3x)) = 0
(-63 + -35x + (27x + 15x2)) = 0

Combine like terms: -35x + 27x = -8x
(-63 + -8x + 15x2) = 0

Solving
-63 + -8x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -5x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve:

Simplifying
-9 + -5x = 0

Solving
-9 + -5x = 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 + -5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 0 + 9
-5x = 0 + 9

Combine like terms: 0 + 9 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

Subproblem 2
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
Solution
x = {-1.8, 2.333333333}

See similar equations:

| 5x+y=2fory | | 5x(x+4)=-75-20x | | a=24-b^2 | | 8*2t/3 | | 2y^2+9=13 | | 10x-43=29+7x | | 2x-7=x+1.5 | | -2x+1-3x=51 | | 11=5+4 | | x-50=.80x-80 | | 5x(x-4)=-75-20x | | 10b-4=2 | | b-0.18b= | | 1/4y=3/16 | | x-50=.80-80 | | 2x+25+4x+35=180 | | 2x-33=51-5x | | 3x-(4x+3)=17 | | b^2/24 | | 2(x-4)=5(x+1)-6 | | 8x+6y=-18 | | -4x^2+7=-9 | | 6x^2-77=x | | secantx=4 | | X+20y=11 | | 10x-x=27.7-0.27 | | -2+5(3x-15)=-140 | | -6+2x+4x=66 | | .80x-80=450 | | 3x(x+20)=1 | | 5(3x-5)=5-15x | | -2x+5(3x+4)=156 |

Equations solver categories