If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4w2 + 16w + -24 = 0 Reorder the terms: -24 + 16w + 4w2 = 0 Solving -24 + 16w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 4w + w2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + 4w + w2)' equal to zero and attempt to solve: Simplifying -6 + 4w + w2 = 0 Solving -6 + 4w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '6' to each side of the equation. -6 + 4w + 6 + w2 = 0 + 6 Reorder the terms: -6 + 6 + 4w + w2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4w + w2 = 0 + 6 4w + w2 = 0 + 6 Combine like terms: 0 + 6 = 6 4w + w2 = 6 The w term is 4w. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4w + 4 + w2 = 6 + 4 Reorder the terms: 4 + 4w + w2 = 6 + 4 Combine like terms: 6 + 4 = 10 4 + 4w + w2 = 10 Factor a perfect square on the left side: (w + 2)(w + 2) = 10 Calculate the square root of the right side: 3.16227766 Break this problem into two subproblems by setting (w + 2) equal to 3.16227766 and -3.16227766.Subproblem 1
w + 2 = 3.16227766 Simplifying w + 2 = 3.16227766 Reorder the terms: 2 + w = 3.16227766 Solving 2 + w = 3.16227766 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 3.16227766 + -2 Combine like terms: 2 + -2 = 0 0 + w = 3.16227766 + -2 w = 3.16227766 + -2 Combine like terms: 3.16227766 + -2 = 1.16227766 w = 1.16227766 Simplifying w = 1.16227766Subproblem 2
w + 2 = -3.16227766 Simplifying w + 2 = -3.16227766 Reorder the terms: 2 + w = -3.16227766 Solving 2 + w = -3.16227766 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = -3.16227766 + -2 Combine like terms: 2 + -2 = 0 0 + w = -3.16227766 + -2 w = -3.16227766 + -2 Combine like terms: -3.16227766 + -2 = -5.16227766 w = -5.16227766 Simplifying w = -5.16227766Solution
The solution to the problem is based on the solutions from the subproblems. w = {1.16227766, -5.16227766}Solution
w = {1.16227766, -5.16227766}
| -10(x-1)=-10x+10 | | x^2+y^2+8x+22y+37=0 | | x^2+6x-47=0 | | 1.50+1.50m=21 | | 3x+3+4y=7 | | 32=3x+2 | | 22x-10= | | 4x+10y=36 | | 4^5/4^2 | | 6z-6+4z=2 | | h(X)=0.025x^2+1.46x+3 | | 5(y+11)= | | 5w+3=18 | | (6x+5)(13x-15)= | | 35=2x+1 | | -4/3-1/2=2(1/6x-4) | | 60=5y-10 | | 3(5n+6)=10n-2 | | 8y^2(10-6y^3)= | | 105+x+84=180 | | 1/3y×(x-y)= | | 14y+3y-6=4 | | 4(3n-1.2)-0.5=95n+6.2 | | 24x-15=-11 | | f(x)=2x^2-20x-3 | | 3(1+4b)=7b+33 | | 62=4v+10 | | 4v(2)= | | 2q-14=16 | | x^5-2x^4-3x^3+8x^2-4x=0 | | 3x^2+-15x+18=0 | | x/4-7=-11 |