4x^2-9=5x-10

Simple and best practice solution for 4x^2-9=5x-10 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 4x^2-9=5x-10 equation: 


Simplifying
4x2 + -9 = 5x + -10

Reorder the terms:
-9 + 4x2 = 5x + -10

Reorder the terms:
-9 + 4x2 = -10 + 5x

Solving
-9 + 4x2 = -10 + 5x

Solving for variable 'x'.

Reorder the terms:
-9 + 10 + -5x + 4x2 = -10 + 5x + 10 + -5x

Combine like terms: -9 + 10 = 1
1 + -5x + 4x2 = -10 + 5x + 10 + -5x

Reorder the terms:
1 + -5x + 4x2 = -10 + 10 + 5x + -5x

Combine like terms: -10 + 10 = 0
1 + -5x + 4x2 = 0 + 5x + -5x
1 + -5x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -5x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(1 + -1x) = 0


Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.25, 1}

See similar equations:

| 5x+18=38 | | 0+-4y=4 | | -11=-8y+5(y-7) | | 4x-6=102 | | -2(-3x+1)-9x=4 | | 6x+10=22+3x | | s=5m | | 19.3=-3.1+7u | | 6x^2+18x-5=-5x-1 | | 6(1.16)-7y=-42 | | x=ln^2(y+7-y^2)+ln(y+5-y^2)+3 | | x^2-2x-40=-5x | | Qs+7y=xForQ | | 2x^2+10=46 | | 15+3t=17-p | | x=5.5-1.5 | | B=qw+q | | 4.2=-3u+11.7 | | 11x^3+6x^2-1100x-600=0 | | 3r^2-22r+7=0 | | 12m^2-27m-75=0 | | (9w+4)(5w-7)=0 | | -8y+5=-6y+3 | | 48+X-44= | | 3n^3-37n^2+90n=0 | | 10t+-3=t+15 | | 10z+20=5z-10 | | x^3+7x^2-36x-252=0 | | 235+0.75n=125+1.63n | | -6g+15=63 | | 4x=-33+5y | | 0.4(10x+5)=118 |

Equations solver categories