4x^2-17=10x+7

Simple and best practice solution for 4x^2-17=10x+7 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^2-17=10x+7 equation: 


Simplifying
4x2 + -17 = 10x + 7

Reorder the terms:
-17 + 4x2 = 10x + 7

Reorder the terms:
-17 + 4x2 = 7 + 10x

Solving
-17 + 4x2 = 7 + 10x

Solving for variable 'x'.

Reorder the terms:
-17 + -7 + -10x + 4x2 = 7 + 10x + -7 + -10x

Combine like terms: -17 + -7 = -24
-24 + -10x + 4x2 = 7 + 10x + -7 + -10x

Reorder the terms:
-24 + -10x + 4x2 = 7 + -7 + 10x + -10x

Combine like terms: 7 + -7 = 0
-24 + -10x + 4x2 = 0 + 10x + -10x
-24 + -10x + 4x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-24 + -10x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -5x + 2x2) = 0

Factor a trinomial.
2((-3 + -2x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.5, 4}

See similar equations:

| (x+6)(x+2)(x-7)(x-3)=180 | | (x+3)(x+2)(x-7)(x-3)=-180 | | 2x^2-3x+40=0 | | 5.8+3.5(z-4)=9.4 | | (x+3)(x+2)(x-7)(x-3)-180=0 | | x^2=9/25 | | 5x^2=2x^2-25 | | (3e/2)+7=(e/3) | | (x/3)-(x/8)=(5/2) | | 12n^2-100m-200=0 | | (8/3)x=(5/2) | | (X/3)-(x/8) | | 6m^2-50m-100=0 | | 5=(-3/2)x | | (X/2)+(x/3) | | 5r^2+47r-30=0 | | (x+2)(x+1)(x)(x-1)=360 | | 2x=(1/6) | | F(x)=3x^2+3x | | (X/3)-(x/6) | | 2x+10=132 | | 3n^2+37n+90=0 | | (X/3)-(x/6)=(1/6) | | 2x^2-3x-40=0 | | 7x+3=x+33 | | .3(2x-5)=.2x+.5 | | 42p^2-48p+144=0 | | -3(4-x)-x=2 | | 3y=16-(6-5y) | | 6(u-7)= | | 11x-7x=12-28 | | 7r-2(r-8)=5 |

Equations solver categories