2x^2+8x-10=4

Simple and best practice solution for 2x^2+8x-10=4 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^2+8x-10=4 equation: 


Simplifying
2x2 + 8x + -10 = 4

Reorder the terms:
-10 + 8x + 2x2 = 4

Solving
-10 + 8x + 2x2 = 4

Solving for variable 'x'.

Reorder the terms:
-10 + -4 + 8x + 2x2 = 4 + -4

Combine like terms: -10 + -4 = -14
-14 + 8x + 2x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-14 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-7 + 4x + x2 = 0

Solving
-7 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + 4x + 7 + x2 = 0 + 7

Reorder the terms:
-7 + 7 + 4x + x2 = 0 + 7

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

Combine like terms: 0 + 7 = 7
4x + x2 = 7

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 7 + 4

Reorder the terms:
4 + 4x + x2 = 7 + 4

Combine like terms: 7 + 4 = 11
4 + 4x + x2 = 11

Factor a perfect square on the left side:
(x + 2)(x + 2) = 11

Calculate the square root of the right side: 3.31662479

Break this problem into two subproblems by setting 
(x + 2) equal to 3.31662479 and -3.31662479.


Subproblem 1
x + 2 = 3.31662479

Simplifying
x + 2 = 3.31662479

Reorder the terms:
2 + x = 3.31662479

Solving
2 + x = 3.31662479

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 3.31662479 + -2

Combine like terms: 2 + -2 = 0
0 + x = 3.31662479 + -2
x = 3.31662479 + -2

Combine like terms: 3.31662479 + -2 = 1.31662479
x = 1.31662479

Simplifying
x = 1.31662479


Subproblem 2
x + 2 = -3.31662479

Simplifying
x + 2 = -3.31662479

Reorder the terms:
2 + x = -3.31662479

Solving
2 + x = -3.31662479

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -3.31662479 + -2

Combine like terms: 2 + -2 = 0
0 + x = -3.31662479 + -2
x = -3.31662479 + -2

Combine like terms: -3.31662479 + -2 = -5.31662479
x = -5.31662479

Simplifying
x = -5.31662479


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.31662479, -5.31662479}
Solution
x = {1.31662479, -5.31662479}

See similar equations:

| -4(p+2)+8=2(p-1)-7p+5 | | C=5b+200 | | 2x^2+6x-3= | | f(x)=2x^2+6-3 | | E=8b+12n | | 4(x+8)=92 | | 4a+3b=6b-9a | | (9x-6)=(7x+22) | | 25x-30=20x-10 | | 15g+4=13g | | 4(n+2)=8-8(n-6) | | 6a+2(5a-5)=-6(7-5a)-6a | | F/4-4=11 | | -2x+5=31 | | x+3=2x-6 | | 5(x+6)+15=20 | | 4+x=3x | | X-10/7=-1 | | Y+10=z^2+3x | | -2+6=22 | | 3(5x-10)=3(x+4) | | 5=8+x/3 | | 2t-0.3=5.7+t | | X/-2+7=-1 | | -9+1=-13 | | 2a+5/a | | w=15-t | | 1/2x=15 | | -2(x+7)=17-x | | y=-2x^2-5 | | 4X^2-7=29 | | -2x+6=-3 |

Equations solver categories