(3x+7)(8x-9)=0

Simple and best practice solution for (3x+7)(8x-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)(8x-9)=0 equation: 


Simplifying
(3x + 7)(8x + -9) = 0

Reorder the terms:
(7 + 3x)(8x + -9) = 0

Reorder the terms:
(7 + 3x)(-9 + 8x) = 0

Multiply (7 + 3x) * (-9 + 8x)
(7(-9 + 8x) + 3x * (-9 + 8x)) = 0
((-9 * 7 + 8x * 7) + 3x * (-9 + 8x)) = 0
((-63 + 56x) + 3x * (-9 + 8x)) = 0
(-63 + 56x + (-9 * 3x + 8x * 3x)) = 0
(-63 + 56x + (-27x + 24x2)) = 0

Combine like terms: 56x + -27x = 29x
(-63 + 29x + 24x2) = 0

Solving
-63 + 29x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3x)(9 + -8x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve:

Simplifying
9 + -8x = 0

Solving
9 + -8x = 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 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125
Solution
x = {-2.333333333, 1.125}

See similar equations:

| 4r+9=-8t-13 | | x^2+21x+15=9x+4 | | 3c/3c^2+6 | | j/1.75=4 | | 16+3(2n-9)=1 | | 12x+3=45 | | -121-9x=-8x+15 | | 4(3+c)=3(c-3) | | 2(5x-4)=12 | | 7y-4=8.25 | | 6x^2-4=7x | | 12=-4+g | | 4(c-3)+8=5+c-9 | | -19-6x=3x+6 | | k/3.25-3=1 | | 223-3X=42X+18 | | 114/x=1.618 | | e/3+3=-6 | | 39/x=1.618 | | z^2-12z+26=0 | | -4v-2v-6v+(-10)=14 | | 25/x=1.618 | | n/(n-12)=9/5 | | 16-4y-4y+y+y^2=2 | | -8=h-8 | | 2k=-54 | | -15z=6 | | -2112x=9-8x | | 8v+7=-9 | | 68x-1050=125 | | -3=4+f | | 3y^2-7y+4= |

Equations solver categories