(3x^2+x+1)-(2x^2-5x+6)=

Simple and best practice solution for (3x^2+x+1)-(2x^2-5x+6)= 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 (3x^2+x+1)-(2x^2-5x+6)= equation:


Simplifying
(3x2 + x + 1) + -1(2x2 + -5x + 6) = 0

Reorder the terms:
(1 + x + 3x2) + -1(2x2 + -5x + 6) = 0

Remove parenthesis around (1 + x + 3x2)
1 + x + 3x2 + -1(2x2 + -5x + 6) = 0

Reorder the terms:
1 + x + 3x2 + -1(6 + -5x + 2x2) = 0
1 + x + 3x2 + (6 * -1 + -5x * -1 + 2x2 * -1) = 0
1 + x + 3x2 + (-6 + 5x + -2x2) = 0

Reorder the terms:
1 + -6 + x + 5x + 3x2 + -2x2 = 0

Combine like terms: 1 + -6 = -5
-5 + x + 5x + 3x2 + -2x2 = 0

Combine like terms: x + 5x = 6x
-5 + 6x + 3x2 + -2x2 = 0

Combine like terms: 3x2 + -2x2 = 1x2
-5 + 6x + 1x2 = 0

Solving
-5 + 6x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 6x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 6x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6x + x2 = 0 + 5
6x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
6x + x2 = 5

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 5 + 9

Reorder the terms:
9 + 6x + x2 = 5 + 9

Combine like terms: 5 + 9 = 14
9 + 6x + x2 = 14

Factor a perfect square on the left side:
(x + 3)(x + 3) = 14

Calculate the square root of the right side: 3.741657387

Break this problem into two subproblems by setting 
(x + 3) equal to 3.741657387 and -3.741657387.

Subproblem 1

x + 3 = 3.741657387 Simplifying x + 3 = 3.741657387 Reorder the terms: 3 + x = 3.741657387 Solving 3 + x = 3.741657387 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 3.741657387 + -3 Combine like terms: 3 + -3 = 0 0 + x = 3.741657387 + -3 x = 3.741657387 + -3 Combine like terms: 3.741657387 + -3 = 0.741657387 x = 0.741657387 Simplifying x = 0.741657387

Subproblem 2

x + 3 = -3.741657387 Simplifying x + 3 = -3.741657387 Reorder the terms: 3 + x = -3.741657387 Solving 3 + x = -3.741657387 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -3.741657387 + -3 Combine like terms: 3 + -3 = 0 0 + x = -3.741657387 + -3 x = -3.741657387 + -3 Combine like terms: -3.741657387 + -3 = -6.741657387 x = -6.741657387 Simplifying x = -6.741657387

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.741657387, -6.741657387}

See similar equations:

| Cx+b=a | | a^2-a-63=0 | | 9x+19-22x=4-10x-4 | | (5y-1)=(-2y+4) | | x^2-6x-37=0 | | 0.7(7x+8)=2.7-(x-3) | | 5x+1(-5+2)=18-3 | | 4sqrt(x^2+2x)=4sqrt(3) | | 2x^2-3=x^2+6x | | 5y-7=-169 | | 7n-93=2n-13 | | 4g-3=1g+37 | | X^2+2mx+1=0 | | 23-5n=-3(3-n) | | 17=-7+3n | | x^3-2x=5 | | 9+7=n | | 2*(3x+4)=8*(2x-4) | | (3x^2+x+1)+(2x^2-3x-5)= | | 6z-3=z+7 | | (3y+7)=4 | | 8x+3=-9x-5 | | 6x+131=3x+184 | | 0.75y+9=0.5 | | 4c^3+4c^2-24=0 | | a^2+6a-63=0 | | p(t)=-2t^2+48t+30 | | 9x-3-4x=x+8+x | | 7(2x)-(10-3x)= | | p(t)=-2t+48t+30 | | h=vt-gt | | 6x-2-2x=x+7+x |

Equations solver categories