2x^2-48x=-5x^2-7x-30

Simple and best practice solution for 2x^2-48x=-5x^2-7x-30 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^2-48x=-5x^2-7x-30 equation:


Simplifying
2x2 + -48x = -5x2 + -7x + -30

Reorder the terms:
-48x + 2x2 = -5x2 + -7x + -30

Reorder the terms:
-48x + 2x2 = -30 + -7x + -5x2

Solving
-48x + 2x2 = -30 + -7x + -5x2

Solving for variable 'x'.

Reorder the terms:
30 + -48x + 7x + 2x2 + 5x2 = -30 + -7x + -5x2 + 30 + 7x + 5x2

Combine like terms: -48x + 7x = -41x
30 + -41x + 2x2 + 5x2 = -30 + -7x + -5x2 + 30 + 7x + 5x2

Combine like terms: 2x2 + 5x2 = 7x2
30 + -41x + 7x2 = -30 + -7x + -5x2 + 30 + 7x + 5x2

Reorder the terms:
30 + -41x + 7x2 = -30 + 30 + -7x + 7x + -5x2 + 5x2

Combine like terms: -30 + 30 = 0
30 + -41x + 7x2 = 0 + -7x + 7x + -5x2 + 5x2
30 + -41x + 7x2 = -7x + 7x + -5x2 + 5x2

Combine like terms: -7x + 7x = 0
30 + -41x + 7x2 = 0 + -5x2 + 5x2
30 + -41x + 7x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
30 + -41x + 7x2 = 0

Factor a trinomial.
(6 + -7x)(5 + -1x) = 0

Subproblem 1

Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0.8571428571, 5}

See similar equations:

| 6-10x=142-38x | | 121-4x=6x+11 | | -6w=-31 | | 3x^2-32x=-4x^2-5x-18 | | (-k+1)(k+6)= | | (4x+3)(2x^2-13x-7)=0 | | (-3h^2-h+1)(h+5)= | | 5(u+4)=3u | | (2n^2+4n+4)(4n-5)= | | x^2+10+16=0 | | -16=-8u | | 23a+54= | | 3s^2+4s+4=8 | | 8x^2y^2+26xy+15= | | 11u=-9 | | 4x^2+8x-18=12-11x | | -21=-5x | | 4x(2-3x)= | | 58=4y+5 | | (6x^3-x+2)-(5x^3+8x-3)= | | .10(y-3)+.14y=.02y-1.4 | | 2(x*x*x)-5=-3 | | 6x+33=16x+67 | | -2*-2-9*-2+6= | | x^5-8x^2=3 | | 2x^2(9x^3+3y^3)= | | 2*lx-3l-1=5 | | 2x^2+8x+42=0 | | 3(n+2)-6(n-3)=2n+9 | | 169x^2+884x+115=0 | | 66-3x=15x+20 | | x+(x-8)=29 |

Equations solver categories