56(x^2-1)=15x

Simple and best practice solution for 56(x^2-1)=15x 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 56(x^2-1)=15x equation:


Simplifying
56(x2 + -1) = 15x

Reorder the terms:
56(-1 + x2) = 15x
(-1 * 56 + x2 * 56) = 15x
(-56 + 56x2) = 15x

Solving
-56 + 56x2 = 15x

Solving for variable 'x'.

Reorder the terms:
-56 + -15x + 56x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
-56 + -15x + 56x2 = 0

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

Subproblem 1

Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 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 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875

Subproblem 2

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

Solution

x = {-0.875, 1.142857143}

See similar equations:

| 3x=(2x-3)(m+4) | | (9x)2-49x-30= | | 3-(4-2)*(5)+2= | | 0.2x+3.6=1.2 | | 4(7x-2)-5(3x-17)=12x+12 | | x+3.6=1.2 | | 13+2m^2+14m=0 | | 8x^2+16x=x^3 | | x^6-8x^3-20=0 | | 12t^2+18t+2=0 | | 45x+5=50 | | 26-5x=8 | | 8s+5s= | | 3r^2-12r-15=0 | | 5y-3x=xy | | 6c^2-3c-3=0 | | y^2-10y+3=0 | | 3x-12=4x+8 | | p^2-8p+4=0 | | z+8-3=8 | | 2(x-7)=3(x+9) | | 6z-3=15 | | 7x+1=6x | | 3z-10=14 | | y-7+12=40 | | 2x-4=2(x-4) | | 6y-11=9 | | 6(6x+4)=36x+24 | | 5y+(-3)=27 | | 5y+-3=27 | | 0.50x+0.15(30)=47.5 | | 13n+n^2=0 |

Equations solver categories