(2x-5)(7x+8)=0

Simple and best practice solution for (2x-5)(7x+8)=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-5)(7x+8)=0 equation: 


Simplifying
(2x + -5)(7x + 8) = 0

Reorder the terms:
(-5 + 2x)(7x + 8) = 0

Reorder the terms:
(-5 + 2x)(8 + 7x) = 0

Multiply (-5 + 2x) * (8 + 7x)
(-5(8 + 7x) + 2x * (8 + 7x)) = 0
((8 * -5 + 7x * -5) + 2x * (8 + 7x)) = 0
((-40 + -35x) + 2x * (8 + 7x)) = 0
(-40 + -35x + (8 * 2x + 7x * 2x)) = 0
(-40 + -35x + (16x + 14x2)) = 0

Combine like terms: -35x + 16x = -19x
(-40 + -19x + 14x2) = 0

Solving
-40 + -19x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -7x)(5 + -2x) = 0


Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 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 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-1.142857143, 2.5}

See similar equations:

| -10=10(k-8) | | A=m+mrt | | 2x^3-16x^2-40x=0 | | 2y+6x=108 | | 15x+6(x+4)=255 | | 2x+15+2x-3=57-3x+39 | | 7x+12=12x+32 | | 8n+64=15n-2 | | 3x+5(7x+10)=126 | | X=21+69 | | (1/5)/(1/45) | | 3.7=22.9-6y | | 7a+8b+2a-3b= | | 10=a(-3+23)(-3-17) | | 3n-1=14+2b | | q=6k+4L | | 9x-216=2x-6 | | X^4-16x^2=x^2+18 | | 9-3x+6=4x+1 | | 4x-(2x-5x)+100=800 | | 24s-18= | | 3x-188=11x+122 | | -16k^6-20k^5=0 | | (x-5-7i)(x-5+7i)= | | -7-17=-13y-11 | | 9y=6+4X | | 1048.8=23*x | | 3x^3+30=0 | | Y=(x-5)(x-5)+3 | | x+2-2=5 | | X^3+3x^2=24x+72 | | -x-3=-3x+3 |

Equations solver categories