0=-14x^2+46x-12

Simple and best practice solution for 0=-14x^2+46x-12 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 0=-14x^2+46x-12 equation:


Simplifying
0 = -14x2 + 46x + -12

Reorder the terms:
0 = -12 + 46x + -14x2

Solving
0 = -12 + 46x + -14x2

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + -46x + 14x2 = -12 + 46x + -14x2 + 12 + -46x + 14x2

Reorder the terms:
12 + -46x + 14x2 = -12 + 12 + 46x + -46x + -14x2 + 14x2

Combine like terms: -12 + 12 = 0
12 + -46x + 14x2 = 0 + 46x + -46x + -14x2 + 14x2
12 + -46x + 14x2 = 46x + -46x + -14x2 + 14x2

Combine like terms: 46x + -46x = 0
12 + -46x + 14x2 = 0 + -14x2 + 14x2
12 + -46x + 14x2 = -14x2 + 14x2

Combine like terms: -14x2 + 14x2 = 0
12 + -46x + 14x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -23x + 7x2) = 0

Factor a trinomial.
2((2 + -7x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {0.2857142857, 3}

See similar equations:

| f(3x)=-2xsquared+10 | | 7x-(3+2x)+11= | | 10-y=3-6y-12 | | 1(36+x)=-24(18-x) | | 2w-33=-3(w+1) | | 9-3(6x-1)=6 | | 14-6(3x-5)=-4 | | 9.17*70= | | -7.3+x=-17.4 | | 20-3c+19=3(3c+13) | | 25+12x+4= | | 9-7y=-8y | | 3x=12x-30 | | 31+2x+37+42= | | 1.5*60= | | 4x+bx=(b+4)(b+1) | | -6x+y=49 | | 3x-6+5x=3(4x-4)+4 | | 5(2-v)-v=2(u+1) | | -5(-2z-20)=-11-15-4z | | 25=x-(-8) | | -4z=-5z-7 | | tan(51)x/15 | | 2x+10+120+30= | | 41.32*60= | | f(3x)=-2xsquare+10 | | 4-9x-7x+3= | | 74+57+5x+9= | | -9.6s+10.98+13.7s=1.1s-19.32 | | 14n-8=20 | | 11g^2-13g+2=0 | | 13x-1+85+70= |

Equations solver categories