3x^2-30x+42=0

Simple and best practice solution for 3x^2-30x+42=0 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^2-30x+42=0 equation:


Simplifying
3x2 + -30x + 42 = 0

Reorder the terms:
42 + -30x + 3x2 = 0

Solving
42 + -30x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(14 + -10x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(14 + -10x + x2)' equal to zero and attempt to solve: Simplifying 14 + -10x + x2 = 0 Solving 14 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -10x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -10x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -10x + x2 = 0 + -14 -10x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -10x + x2 = -14 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -14 + 25 Reorder the terms: 25 + -10x + x2 = -14 + 25 Combine like terms: -14 + 25 = 11 25 + -10x + x2 = 11 Factor a perfect square on the left side: (x + -5)(x + -5) = 11 Calculate the square root of the right side: 3.31662479 Break this problem into two subproblems by setting (x + -5) equal to 3.31662479 and -3.31662479.

Subproblem 1

x + -5 = 3.31662479 Simplifying x + -5 = 3.31662479 Reorder the terms: -5 + x = 3.31662479 Solving -5 + x = 3.31662479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 3.31662479 + 5 Combine like terms: -5 + 5 = 0 0 + x = 3.31662479 + 5 x = 3.31662479 + 5 Combine like terms: 3.31662479 + 5 = 8.31662479 x = 8.31662479 Simplifying x = 8.31662479

Subproblem 2

x + -5 = -3.31662479 Simplifying x + -5 = -3.31662479 Reorder the terms: -5 + x = -3.31662479 Solving -5 + x = -3.31662479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = -3.31662479 + 5 Combine like terms: -5 + 5 = 0 0 + x = -3.31662479 + 5 x = -3.31662479 + 5 Combine like terms: -3.31662479 + 5 = 1.68337521 x = 1.68337521 Simplifying x = 1.68337521

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.31662479, 1.68337521}

Solution

x = {8.31662479, 1.68337521}

See similar equations:

| 10x^2-29x-21=0 | | p(x)=x^3+12x^2+44x+48 | | 8a^2-30a+18=0 | | 20x^3+57x+13x=0 | | p(x)=x^2+16x-36 | | s=(-1,3) | | 5u^2-7u=6 | | 81m^4-16=0 | | 23z-30+30=4+30 | | 7a(2a-b)+3(2a-b)=GCF | | N=10(7+11) | | 6x^5+10x-9x^4-15=0 | | 6(3z-1)-5(z+8)=4(z+1) | | 48-4x^2=0 | | N+15=35-N | | t+t+4t-7=17 | | 3x-9+2x=3 | | x^4+16x^2+64=0 | | 3x-9+2x=-3 | | 1+13x^2+x^4=0 | | 1x+13x+x^4=0 | | 2N+5=45 | | 5x+3-7x=15 | | 196p^4=0 | | 36a^2=0 | | 2z^2+5z+4=0 | | 8x^3+28x^2+24x=0 | | 7m-12=18+m | | x-y=16 | | 14z=-140 | | 3x^4+8x^2-16=0 | | 2m^2+15m+14=0 |

Equations solver categories