If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 24x + 38 = 0 Reorder the terms: 38 + 24x + 2x2 = 0 Solving 38 + 24x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(19 + 12x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(19 + 12x + x2)' equal to zero and attempt to solve: Simplifying 19 + 12x + x2 = 0 Solving 19 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 12x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 12x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 12x + x2 = 0 + -19 12x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 12x + x2 = -19 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -19 + 36 Reorder the terms: 36 + 12x + x2 = -19 + 36 Combine like terms: -19 + 36 = 17 36 + 12x + x2 = 17 Factor a perfect square on the left side: (x + 6)(x + 6) = 17 Calculate the square root of the right side: 4.123105626 Break this problem into two subproblems by setting (x + 6) equal to 4.123105626 and -4.123105626.Subproblem 1
x + 6 = 4.123105626 Simplifying x + 6 = 4.123105626 Reorder the terms: 6 + x = 4.123105626 Solving 6 + x = 4.123105626 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 4.123105626 + -6 Combine like terms: 6 + -6 = 0 0 + x = 4.123105626 + -6 x = 4.123105626 + -6 Combine like terms: 4.123105626 + -6 = -1.876894374 x = -1.876894374 Simplifying x = -1.876894374Subproblem 2
x + 6 = -4.123105626 Simplifying x + 6 = -4.123105626 Reorder the terms: 6 + x = -4.123105626 Solving 6 + x = -4.123105626 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = -4.123105626 + -6 Combine like terms: 6 + -6 = 0 0 + x = -4.123105626 + -6 x = -4.123105626 + -6 Combine like terms: -4.123105626 + -6 = -10.123105626 x = -10.123105626 Simplifying x = -10.123105626Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.876894374, -10.123105626}Solution
x = {-1.876894374, -10.123105626}
| 4t^2-6t=0 | | 0.75h-9=0.25 | | -2(x-3)=-(x-2) | | 5y-2y+10=-(2y+15)+y | | -2x+2z=-4 | | 7=3n-1 | | -(7x-3)-(6x-6)+8=-12(x-1)-(4x+13)+3 | | 7u^2-4u-3= | | 5y-2y+10=-2(2y+15)+y | | 0.5-5=2-7 | | Y+2.3=8 | | 4x+y=11findy | | (15x-8y)+(6x+14y)=52 | | 8z-10=11+5z | | -5(7x+4)= | | 2=g | | B^2+5B-3=-3 | | 3=r-6 | | 45=-2x+13 | | -19+8-7=x+20 | | -94=2(1-2x)-8x | | 2x^2+4x+10=58 | | -70=7x+3(4x-1) | | 8=9+15 | | 180+20+x=81 | | 7(-4x+3)=-7 | | p-62=50 | | 1/12+600=1200 | | 16+31x=42+14x | | 5r-0.2=1.25 | | -6x+7+2x=7 | | 3(6y-7)=-57 |