(2x+9)(3x-7)=0

Simple and best practice solution for (2x+9)(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 (2x+9)(3x-7)=0 equation: 


Simplifying
(2x + 9)(3x + -7) = 0

Reorder the terms:
(9 + 2x)(3x + -7) = 0

Reorder the terms:
(9 + 2x)(-7 + 3x) = 0

Multiply (9 + 2x) * (-7 + 3x)
(9(-7 + 3x) + 2x * (-7 + 3x)) = 0
((-7 * 9 + 3x * 9) + 2x * (-7 + 3x)) = 0
((-63 + 27x) + 2x * (-7 + 3x)) = 0
(-63 + 27x + (-7 * 2x + 3x * 2x)) = 0
(-63 + 27x + (-14x + 6x2)) = 0

Combine like terms: 27x + -14x = 13x
(-63 + 13x + 6x2) = 0

Solving
-63 + 13x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve:

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 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 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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 = {-4.5, 2.333333333}

See similar equations:

| k^3+21k=-7.88 | | (5x+4)-(2x-1)=(3x+1) | | 6x-5=15x-95 | | 6x+19=14x-53 | | 6x+(2x*k)=0 | | 9+6x=69+x | | 2m-3(m+3)=-13 | | x^3-11x^2+18x=0 | | 2x+41=5x+14 | | 3-4x=12-7x | | 5x-23=32 | | 3x-3=10x-31 | | 12x+6=9x+24 | | 2a+7b-9a-4b= | | 55-2x=10x+19 | | 4x+40=11x-37 | | 36x^4-15x^3-9x^2= | | 8x+4=x-3 | | 10x+14=59 | | a-3.54=8.20 | | x(8x-5)=13 | | 1.5x-2.5=1.9x+8.7 | | 12x^2+80x=28 | | x^3-11x^2+24x=0 | | a(b+5)= | | 7x+8=3x | | 6x+12=132-6x | | 9+11a=-5a+21 | | x(2x-7)=7 | | -2x^2+32=0 | | 12b-5=3b | | 4x^2+42x=22 |

Equations solver categories