If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + -16x + -38 = 0 Reorder the terms: -38 + -16x + 4x2 = 0 Solving -38 + -16x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-19 + -8x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-19 + -8x + 2x2)' equal to zero and attempt to solve: Simplifying -19 + -8x + 2x2 = 0 Solving -19 + -8x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -9.5 + -4x + x2 = 0 Move the constant term to the right: Add '9.5' to each side of the equation. -9.5 + -4x + 9.5 + x2 = 0 + 9.5 Reorder the terms: -9.5 + 9.5 + -4x + x2 = 0 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + -4x + x2 = 0 + 9.5 -4x + x2 = 0 + 9.5 Combine like terms: 0 + 9.5 = 9.5 -4x + x2 = 9.5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = 9.5 + 4 Reorder the terms: 4 + -4x + x2 = 9.5 + 4 Combine like terms: 9.5 + 4 = 13.5 4 + -4x + x2 = 13.5 Factor a perfect square on the left side: (x + -2)(x + -2) = 13.5 Calculate the square root of the right side: 3.674234614 Break this problem into two subproblems by setting (x + -2) equal to 3.674234614 and -3.674234614.Subproblem 1
x + -2 = 3.674234614 Simplifying x + -2 = 3.674234614 Reorder the terms: -2 + x = 3.674234614 Solving -2 + x = 3.674234614 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 3.674234614 + 2 Combine like terms: -2 + 2 = 0 0 + x = 3.674234614 + 2 x = 3.674234614 + 2 Combine like terms: 3.674234614 + 2 = 5.674234614 x = 5.674234614 Simplifying x = 5.674234614Subproblem 2
x + -2 = -3.674234614 Simplifying x + -2 = -3.674234614 Reorder the terms: -2 + x = -3.674234614 Solving -2 + x = -3.674234614 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = -3.674234614 + 2 Combine like terms: -2 + 2 = 0 0 + x = -3.674234614 + 2 x = -3.674234614 + 2 Combine like terms: -3.674234614 + 2 = -1.674234614 x = -1.674234614 Simplifying x = -1.674234614Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.674234614, -1.674234614}Solution
x = {5.674234614, -1.674234614}
| 0=x^2+9x+210 | | 8y+1=7y-1 | | 1x+12+2x=20+3x-8 | | 5.3-3.7=13.81 | | 4x=39.3 | | -20=-4(b+1)+16 | | 4y-2y+10=24 | | 8+4x=22-3x | | 6z-2=7z-2z | | (1.5x)=(1.3x)+5 | | m/10+2=4 | | 3x+27x=0 | | 4d-(2+5d)=-7 | | 4y+10=2y+24 | | -4n=72 | | 4(7-4x)=-148 | | 7r-15=-50+2r | | -20a=220 | | 40=0.04v^2+1.1v | | 18-3y=57 | | -2(5x+9)=-48 | | m-2(m+3)=1-(m+7) | | 4y+2y+10=34 | | 2f+8-t=-3 | | 6z-2=7z-2 | | x-.08=8.22 | | 2(5x-1)-2x=6 | | -9y+90=-5y-10 | | 11a=-77 | | 29m=203 | | 11a=-7 | | (3x-2)(x-4)(x-6)=0 |