If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8x2 + 13x + -79 = x + -1 Reorder the terms: -79 + 13x + 8x2 = x + -1 Reorder the terms: -79 + 13x + 8x2 = -1 + x Solving -79 + 13x + 8x2 = -1 + x Solving for variable 'x'. Reorder the terms: -79 + 1 + 13x + -1x + 8x2 = -1 + x + 1 + -1x Combine like terms: -79 + 1 = -78 -78 + 13x + -1x + 8x2 = -1 + x + 1 + -1x Combine like terms: 13x + -1x = 12x -78 + 12x + 8x2 = -1 + x + 1 + -1x Reorder the terms: -78 + 12x + 8x2 = -1 + 1 + x + -1x Combine like terms: -1 + 1 = 0 -78 + 12x + 8x2 = 0 + x + -1x -78 + 12x + 8x2 = x + -1x Combine like terms: x + -1x = 0 -78 + 12x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-39 + 6x + 4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-39 + 6x + 4x2)' equal to zero and attempt to solve: Simplifying -39 + 6x + 4x2 = 0 Solving -39 + 6x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -9.75 + 1.5x + x2 = 0 Move the constant term to the right: Add '9.75' to each side of the equation. -9.75 + 1.5x + 9.75 + x2 = 0 + 9.75 Reorder the terms: -9.75 + 9.75 + 1.5x + x2 = 0 + 9.75 Combine like terms: -9.75 + 9.75 = 0.00 0.00 + 1.5x + x2 = 0 + 9.75 1.5x + x2 = 0 + 9.75 Combine like terms: 0 + 9.75 = 9.75 1.5x + x2 = 9.75 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 9.75 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 9.75 + 0.5625 Combine like terms: 9.75 + 0.5625 = 10.3125 0.5625 + 1.5x + x2 = 10.3125 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 10.3125 Calculate the square root of the right side: 3.211308145 Break this problem into two subproblems by setting (x + 0.75) equal to 3.211308145 and -3.211308145.Subproblem 1
x + 0.75 = 3.211308145 Simplifying x + 0.75 = 3.211308145 Reorder the terms: 0.75 + x = 3.211308145 Solving 0.75 + x = 3.211308145 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 3.211308145 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 3.211308145 + -0.75 x = 3.211308145 + -0.75 Combine like terms: 3.211308145 + -0.75 = 2.461308145 x = 2.461308145 Simplifying x = 2.461308145Subproblem 2
x + 0.75 = -3.211308145 Simplifying x + 0.75 = -3.211308145 Reorder the terms: 0.75 + x = -3.211308145 Solving 0.75 + x = -3.211308145 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -3.211308145 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -3.211308145 + -0.75 x = -3.211308145 + -0.75 Combine like terms: -3.211308145 + -0.75 = -3.961308145 x = -3.961308145 Simplifying x = -3.961308145Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.461308145, -3.961308145}Solution
x = {2.461308145, -3.961308145}
| 80x=162 | | 4(5+7y)= | | ln(x^4+2x^2-5)-4ln(x)=0 | | x/2-9 | | 6+2n=36 | | 12/5-8x | | 10(5+k)=130 | | 8b^2=96-32b | | 18n^2+35n-15n-3n^2=5n | | xw+x=0 | | 0.24-82.84= | | 24=4x-14 | | 18n^2+35-15-3n^2=5nq | | -4z=6z-3 | | 40.19+0.05m=130 | | 2+0.3333x=0.6666 | | h=16t^2+16t+12 | | Y=16+3y | | 3(20+b)=81 | | 12n^2+64n=-20 | | 2(2z-9)= | | 24=5x-9 | | 12x-2=9x+28 | | 5(2x-5)+10=40 | | v^2-16=-6v | | 3.4j=0.816 | | 9(x+1)-(4x-5)=7 | | y-2=5x-20 | | 0.9x-1.3=.5 | | 9x^2-3x+4=4 | | y-.5y=3 | | 1.15xy=2z |