If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3w2 + 70w + 216 = 0 Reorder the terms: 216 + 70w + 3w2 = 0 Solving 216 + 70w + 3w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 72 + 23.33333333w + w2 = 0 Move the constant term to the right: Add '-72' to each side of the equation. 72 + 23.33333333w + -72 + w2 = 0 + -72 Reorder the terms: 72 + -72 + 23.33333333w + w2 = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 23.33333333w + w2 = 0 + -72 23.33333333w + w2 = 0 + -72 Combine like terms: 0 + -72 = -72 23.33333333w + w2 = -72 The w term is 23.33333333w. Take half its coefficient (11.66666667). Square it (136.1111112) and add it to both sides. Add '136.1111112' to each side of the equation. 23.33333333w + 136.1111112 + w2 = -72 + 136.1111112 Reorder the terms: 136.1111112 + 23.33333333w + w2 = -72 + 136.1111112 Combine like terms: -72 + 136.1111112 = 64.1111112 136.1111112 + 23.33333333w + w2 = 64.1111112 Factor a perfect square on the left side: (w + 11.66666667)(w + 11.66666667) = 64.1111112 Calculate the square root of the right side: 8.006941439 Break this problem into two subproblems by setting (w + 11.66666667) equal to 8.006941439 and -8.006941439.Subproblem 1
w + 11.66666667 = 8.006941439 Simplifying w + 11.66666667 = 8.006941439 Reorder the terms: 11.66666667 + w = 8.006941439 Solving 11.66666667 + w = 8.006941439 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11.66666667' to each side of the equation. 11.66666667 + -11.66666667 + w = 8.006941439 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + w = 8.006941439 + -11.66666667 w = 8.006941439 + -11.66666667 Combine like terms: 8.006941439 + -11.66666667 = -3.659725231 w = -3.659725231 Simplifying w = -3.659725231Subproblem 2
w + 11.66666667 = -8.006941439 Simplifying w + 11.66666667 = -8.006941439 Reorder the terms: 11.66666667 + w = -8.006941439 Solving 11.66666667 + w = -8.006941439 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11.66666667' to each side of the equation. 11.66666667 + -11.66666667 + w = -8.006941439 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + w = -8.006941439 + -11.66666667 w = -8.006941439 + -11.66666667 Combine like terms: -8.006941439 + -11.66666667 = -19.673608109 w = -19.673608109 Simplifying w = -19.673608109Solution
The solution to the problem is based on the solutions from the subproblems. w = {-3.659725231, -19.673608109}
| x^3+7x^2+10x+4=0 | | 4w+6t-2w-2t= | | -3/4-2 | | 45x-77=5x | | 3x+40=11x-48 | | 8-5x+3=4x+2 | | 3(4x+1)-2=9x+1 | | 5(9+6x)+15(12+13x)=450 | | -3/4x=2 | | 384=(x+10)(x+10) | | x*2-6x=0 | | y^2+2y+2x+3=0 | | 7a=9a-6 | | 31/2(x+1)+1/3(x+2)=3-1/4(x+3) | | -5x+4/5+9/5=-5x/3 | | 2b-42=b+44 | | -15y=105-6x | | 2800(3467/8272)-234567= | | x^2+20*x+500=0 | | j/4=2 | | 2(5+6)-10= | | 6x^5-25x^4=0 | | (4/5)x+(4/3)=2x | | 12-5u=-4-u | | 5a+3b=9 | | (4/5)x+4/3=2x | | 7p-50=p+4 | | e+2(e+12)=-2(e+16)+e | | (80*3-20+15)-(60*2/5) | | 4+2y-3=7y+9-3y | | 25+2p+6p-5=-4(5p+2) | | 20+8x=13x-1 |