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

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


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

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

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

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

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

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

Combine like terms: 2x + 5x = 7x
-3 + 7x + x2 + -5x2 = 0

Combine like terms: x2 + -5x2 = -4x2
-3 + 7x + -4x2 = 0

Solving
-3 + 7x + -4x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {1, 0.75}

See similar equations:

| y^4+14y^2+49= | | X+5=59 | | 9b^2-48b+64= | | 7m+2=8m+15 | | (9y-6)(9y-6)= | | 5x+8-12x=-6+2x-3 | | x^2-26x-169= | | 20w^2+13w-15= | | (3x^2+x+5)+(2x^2+x-2)= | | -1x=61 | | (2x^2+3x-6)-(-6x+5)= | | (x+3)+(x+4)+x=96 | | (2x^4)(-3x^4)(5x^3)= | | X^4-x^3-72=0 | | (y-8)(4y-9)= | | (x-6)(x+1)=0 | | (2x+9)+(5x-15)= | | (2a-9)(2a-9)= | | 12x+26y=960 | | (x+14)(4x+1)= | | (-4y^2-9y)+(9y^2+2y-4)= | | -3a(a+4)= | | 2(2x-1)=21 | | (-7x^2+1)+(3x^2+7)= | | 3x-7=15x+1 | | 4x^4+3x^3-14x^2+3x+4=0 | | (9x+5y)(9x-5y)= | | 3x+6=-19 | | 2x+6x=25 | | -3(5-15)=15(3-2) | | x-.2x=5000 | | -2(3n+1)=2 |

Equations solver categories