If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 2x + -78 = 0 Reorder the terms: -78 + 2x + 3x2 = 0 Solving -78 + 2x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -26 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '26' to each side of the equation. -26 + 0.6666666667x + 26 + x2 = 0 + 26 Reorder the terms: -26 + 26 + 0.6666666667x + x2 = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 0.6666666667x + x2 = 0 + 26 0.6666666667x + x2 = 0 + 26 Combine like terms: 0 + 26 = 26 0.6666666667x + x2 = 26 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = 26 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = 26 + 0.1111111112 Combine like terms: 26 + 0.1111111112 = 26.1111111112 0.1111111112 + 0.6666666667x + x2 = 26.1111111112 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = 26.1111111112 Calculate the square root of the right side: 5.109903239 Break this problem into two subproblems by setting (x + 0.3333333334) equal to 5.109903239 and -5.109903239.Subproblem 1
x + 0.3333333334 = 5.109903239 Simplifying x + 0.3333333334 = 5.109903239 Reorder the terms: 0.3333333334 + x = 5.109903239 Solving 0.3333333334 + x = 5.109903239 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = 5.109903239 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = 5.109903239 + -0.3333333334 x = 5.109903239 + -0.3333333334 Combine like terms: 5.109903239 + -0.3333333334 = 4.7765699056 x = 4.7765699056 Simplifying x = 4.7765699056Subproblem 2
x + 0.3333333334 = -5.109903239 Simplifying x + 0.3333333334 = -5.109903239 Reorder the terms: 0.3333333334 + x = -5.109903239 Solving 0.3333333334 + x = -5.109903239 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = -5.109903239 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = -5.109903239 + -0.3333333334 x = -5.109903239 + -0.3333333334 Combine like terms: -5.109903239 + -0.3333333334 = -5.4432365724 x = -5.4432365724 Simplifying x = -5.4432365724Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.7765699056, -5.4432365724}
| 3x^2-2x-82=0 | | 5n^2-39n-8=0 | | 5x^3+4x^2+4x+3=0 | | m^2/2=m+1/2 | | 5x^3+4x^2+4=y | | x/(1+x)=0.3 | | 25g+43=193 | | 5x+(2*x)=9 | | 64=2(x+4) | | 64=2(x+3) | | x/0.24=0.45/0.36 | | 0.6(8x+6)=0.7-(x-3) | | (-64/125n^6)^-2/3 | | 10c-5=35 | | -7+2=4+5 | | 8r+50=90 | | 4.4x+36.8=7/8-10.1x | | -6x+3=9x+8 | | 20-22=-4/z | | 5/3+2/3x=13/6+7/2x+1/2 | | 4.57=p(0.0475)(0.5) | | 3.4=x+2.9 | | 8.8= | | 7/3+3y=6y-1/5 | | 46-(2x+14)=2(x+6)+x | | 5x-5=25x | | 3y-8+y+44=6y+40-4y | | -7+10=m | | 2u+3=4u-5 | | 5r+6=40r+13 | | 12x/2 | | 25x-13x= |