(5x+8)(4x-9)=0

Simple and best practice solution for (5x+8)(4x-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+8)(4x-9)=0 equation: 


Simplifying
(5x + 8)(4x + -9) = 0

Reorder the terms:
(8 + 5x)(4x + -9) = 0

Reorder the terms:
(8 + 5x)(-9 + 4x) = 0

Multiply (8 + 5x) * (-9 + 4x)
(8(-9 + 4x) + 5x * (-9 + 4x)) = 0
((-9 * 8 + 4x * 8) + 5x * (-9 + 4x)) = 0
((-72 + 32x) + 5x * (-9 + 4x)) = 0
(-72 + 32x + (-9 * 5x + 4x * 5x)) = 0
(-72 + 32x + (-45x + 20x2)) = 0

Combine like terms: 32x + -45x = -13x
(-72 + -13x + 20x2) = 0

Solving
-72 + -13x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(9 + -4x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {-1.6, 2.25}

See similar equations:

| 3x+4-x=1 | | 12(x+(-8))=36 | | 4p-12=7p | | 10q^2-q-2= | | 1+7k+8=2 | | y-1-3x=0 | | f(x)=2x^3-6x^2+5x | | 6-(5x-3)=12 | | -4-8x=y | | 2(x+2)=8x-16 | | 2x(x-5)+5(x-5)=0 | | 9n^2+6n-8= | | 14x-2x^2=0 | | -6y=-4x | | 0.002x=12 | | 67+92+7a=243 | | 9r^2-6r-8= | | -x^2+30-x=0 | | y+9=8/9(1) | | -6-12=4x+17-3x | | 22+2x=17+2x | | 2.8=0.8b+1.2 | | 2x-3=1.69 | | X^2+5-75=0 | | 0.13x=1.69 | | 3(4x+6)=2(9x-24) | | 0.01x=-1 | | -5=100 | | 15s^2-8s-16= | | 6z-14=-38+2z | | X-(-76)=25 | | 5X+-6y=19 |

Equations solver categories