If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + -4x + -60 = 0 Reorder the terms: -60 + -4x + 4x2 = 0 Solving -60 + -4x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + -1x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-15 + -1x + x2)' equal to zero and attempt to solve: Simplifying -15 + -1x + x2 = 0 Solving -15 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '15' to each side of the equation. -15 + -1x + 15 + x2 = 0 + 15 Reorder the terms: -15 + 15 + -1x + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x + x2 = 0 + 15 -1x + x2 = 0 + 15 Combine like terms: 0 + 15 = 15 -1x + x2 = 15 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = 15 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 15 + 0.25 Combine like terms: 15 + 0.25 = 15.25 0.25 + -1x + x2 = 15.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 15.25 Calculate the square root of the right side: 3.905124838 Break this problem into two subproblems by setting (x + -0.5) equal to 3.905124838 and -3.905124838.Subproblem 1
x + -0.5 = 3.905124838 Simplifying x + -0.5 = 3.905124838 Reorder the terms: -0.5 + x = 3.905124838 Solving -0.5 + x = 3.905124838 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 3.905124838 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 3.905124838 + 0.5 x = 3.905124838 + 0.5 Combine like terms: 3.905124838 + 0.5 = 4.405124838 x = 4.405124838 Simplifying x = 4.405124838Subproblem 2
x + -0.5 = -3.905124838 Simplifying x + -0.5 = -3.905124838 Reorder the terms: -0.5 + x = -3.905124838 Solving -0.5 + x = -3.905124838 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -3.905124838 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -3.905124838 + 0.5 x = -3.905124838 + 0.5 Combine like terms: -3.905124838 + 0.5 = -3.405124838 x = -3.405124838 Simplifying x = -3.405124838Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.405124838, -3.405124838}Solution
x = {4.405124838, -3.405124838}
| 5z-11z=18 | | 2.5m-4.1=2.9 | | 17x-70=2x+5 | | 2.5-4.1=2.9 | | 4x+y-2x+y= | | 3x+4y=89 | | z^2-6-z=0 | | (x^2-1)(x^2+2x-19)=0 | | (2x+5y)(x-y)= | | (x^2-1)x(x^2+2x-19)=0 | | 143-(7x+5)=7(x+9)+x | | 5x^2+13xy-6xy^2=0 | | 2x+3y+4x-5y= | | ln(3x+2)=ln(14-x) | | (2x+3y)(2x+5y)= | | 4x^3+4x=36 | | 4x^3+4x=48 | | 9*9-2*-3=0 | | 4x^3+4x=141 | | 2m+4n+6m+7n= | | 4x^3+4x=120 | | a=5+b | | [5(2-8)-5]-[7-(3-9)]= | | 9+15+x=30 | | x+x+15=30 | | 2n^2-4n-4=0 | | y-b=c | | 2*2x-3y=15 | | 6u+4v-6(3u-3v)= | | 6/8-4/6 | | 630-204X+12X^2=0 | | x+2*6=7 |