If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + -33x + 10 = 82 Reorder the terms: 10 + -33x + 3x2 = 82 Solving 10 + -33x + 3x2 = 82 Solving for variable 'x'. Reorder the terms: 10 + -82 + -33x + 3x2 = 82 + -82 Combine like terms: 10 + -82 = -72 -72 + -33x + 3x2 = 82 + -82 Combine like terms: 82 + -82 = 0 -72 + -33x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -11x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-24 + -11x + x2)' equal to zero and attempt to solve: Simplifying -24 + -11x + x2 = 0 Solving -24 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '24' to each side of the equation. -24 + -11x + 24 + x2 = 0 + 24 Reorder the terms: -24 + 24 + -11x + x2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -11x + x2 = 0 + 24 -11x + x2 = 0 + 24 Combine like terms: 0 + 24 = 24 -11x + x2 = 24 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = 24 + 30.25 Reorder the terms: 30.25 + -11x + x2 = 24 + 30.25 Combine like terms: 24 + 30.25 = 54.25 30.25 + -11x + x2 = 54.25 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = 54.25 Calculate the square root of the right side: 7.365459931 Break this problem into two subproblems by setting (x + -5.5) equal to 7.365459931 and -7.365459931.Subproblem 1
x + -5.5 = 7.365459931 Simplifying x + -5.5 = 7.365459931 Reorder the terms: -5.5 + x = 7.365459931 Solving -5.5 + x = 7.365459931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x = 7.365459931 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = 7.365459931 + 5.5 x = 7.365459931 + 5.5 Combine like terms: 7.365459931 + 5.5 = 12.865459931 x = 12.865459931 Simplifying x = 12.865459931Subproblem 2
x + -5.5 = -7.365459931 Simplifying x + -5.5 = -7.365459931 Reorder the terms: -5.5 + x = -7.365459931 Solving -5.5 + x = -7.365459931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x = -7.365459931 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = -7.365459931 + 5.5 x = -7.365459931 + 5.5 Combine like terms: -7.365459931 + 5.5 = -1.865459931 x = -1.865459931 Simplifying x = -1.865459931Solution
The solution to the problem is based on the solutions from the subproblems. x = {12.865459931, -1.865459931}Solution
x = {12.865459931, -1.865459931}
| 17x^2-15x-4=0 | | 32x-2=24x+48x+6 | | y=x^2-8x-20 | | 5(x+1)+51=-3x | | 4n+4=n+1 | | 12e-87=24 | | 2d-5=13 | | -15(-1)= | | d+261.9=-48 | | -3+10=k+2 | | 4(x+6)-(4x+24)=0 | | -15x-1= | | 3t+3=30 | | 3x^3-11x^2-4x=0 | | -4=2(n+5) | | 6(y-3)=5(y-2) | | 2(a+1)-4(4-7a)=56 | | k+17=29 | | 2x^2-5x-18=0 | | d=.50hq | | .25(x-1)=10 | | 28-2.2x=11.6x+262.6 | | -24=4(n+3) | | d+7=4 | | 5x-2=-23 | | 8x+3=5x-6x+12 | | 1.6+.6n=19.6 | | q-16=40 | | 21*24= | | (-3)5= | | z^2=36 | | (c-21)(c+21)=0 |