(7x+2)(8x-9)=0

Simple and best practice solution for (7x+2)(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 (7x+2)(8x-9)=0 equation: 


Simplifying
(7x + 2)(8x + -9) = 0

Reorder the terms:
(2 + 7x)(8x + -9) = 0

Reorder the terms:
(2 + 7x)(-9 + 8x) = 0

Multiply (2 + 7x) * (-9 + 8x)
(2(-9 + 8x) + 7x * (-9 + 8x)) = 0
((-9 * 2 + 8x * 2) + 7x * (-9 + 8x)) = 0
((-18 + 16x) + 7x * (-9 + 8x)) = 0
(-18 + 16x + (-9 * 7x + 8x * 7x)) = 0
(-18 + 16x + (-63x + 56x2)) = 0

Combine like terms: 16x + -63x = -47x
(-18 + -47x + 56x2) = 0

Solving
-18 + -47x + 56x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -7x)(9 + -8x) = 0


Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve:

Simplifying
-2 + -7x = 0

Solving
-2 + -7x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 0 + 2
-7x = 0 + 2

Combine like terms: 0 + 2 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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 = {-0.2857142857, 1.125}

See similar equations:

| 3m+24-2m+10=30 | | 3.6z-6.5=.7 | | 10X=2X+(-4/5X)+4+5 | | 70y*54x= | | 10X=2X+(-4/5X)+4 | | 15+3h=65 | | 10X=2X+(-4/5X) | | 28=-5x+3 | | 2x+21x+x=180 | | 10X=2X+10XX | | 10X=2X+10 | | 8x-2x+4=27 | | 3x+7=80 | | 9X=2X+10 | | -6-2h=-8 | | 13-x=2x-26 | | 2y^2-12y+7=0 | | -5-w=1 | | 5(x+3)=4(x+6) | | 260=(x+6)x | | 9X=117-X | | (2e-2f)(2f+8)= | | x+23+x+x=90 | | 15+3=65 | | (5xy+7)+(3x-2y)+(4-2xy)+(5x-2y)= | | 4x-2+5x+3x+16=180 | | 2=6-f | | (5+4-2)*(-2)= | | 11x-6=10x+13 | | -1+-3q=-7 | | 79-5x=10x+29 | | 11x-6=7x-24 |

Equations solver categories