If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6r2 + 21r + -21 = 0 Reorder the terms: -21 + 21r + 6r2 = 0 Solving -21 + 21r + 6r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + 7r + 2r2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + 7r + 2r2)' equal to zero and attempt to solve: Simplifying -7 + 7r + 2r2 = 0 Solving -7 + 7r + 2r2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3.5 + 3.5r + r2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + 3.5r + 3.5 + r2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + 3.5r + r2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 3.5r + r2 = 0 + 3.5 3.5r + r2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 3.5r + r2 = 3.5 The r term is 3.5r. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5r + 3.0625 + r2 = 3.5 + 3.0625 Reorder the terms: 3.0625 + 3.5r + r2 = 3.5 + 3.0625 Combine like terms: 3.5 + 3.0625 = 6.5625 3.0625 + 3.5r + r2 = 6.5625 Factor a perfect square on the left side: (r + 1.75)(r + 1.75) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (r + 1.75) equal to 2.561737691 and -2.561737691.Subproblem 1
r + 1.75 = 2.561737691 Simplifying r + 1.75 = 2.561737691 Reorder the terms: 1.75 + r = 2.561737691 Solving 1.75 + r = 2.561737691 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + r = 2.561737691 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + r = 2.561737691 + -1.75 r = 2.561737691 + -1.75 Combine like terms: 2.561737691 + -1.75 = 0.811737691 r = 0.811737691 Simplifying r = 0.811737691Subproblem 2
r + 1.75 = -2.561737691 Simplifying r + 1.75 = -2.561737691 Reorder the terms: 1.75 + r = -2.561737691 Solving 1.75 + r = -2.561737691 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + r = -2.561737691 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + r = -2.561737691 + -1.75 r = -2.561737691 + -1.75 Combine like terms: -2.561737691 + -1.75 = -4.311737691 r = -4.311737691 Simplifying r = -4.311737691Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.811737691, -4.311737691}Solution
r = {0.811737691, -4.311737691}
| 7y+4=27y | | 6x+(-4.4)=4 | | E=(5a-2)(5a+2)-4a(-a+5) | | 6(-1.666666667+-0.3333333333y)+2y=10 | | x(x^2-1)-x^3+x^2=0 | | -5y+8=7 | | (a+b)(c+d)=0 | | 2y+2y-2y+2y-3y=9 | | 4(12x+6)=48x-9 | | k^2-19k-100=0 | | k*2-19k-100=0 | | l^2*(x-1)=2*(l*x-2) | | x+1.5=3.75 | | 6m-8=16 | | 3(-1.6666667+-.3333333y)+2y=10 | | 3x+30=4x-10 | | 324=2a*3b | | 13y-4y-2y-6y=17 | | 29.334+7.3x=-6.3+0.5(x-4.892) | | 60=x+y | | -1=2(-.5+.5y)-y | | 3x-5(7+2x)=6x-9 | | 20(1)-30(-1)=x | | 4.5x=6 | | 20(-1)-30=x | | -5(2l+5)=-35 | | y=0.5-0.5(1) | | 28+n=29n | | -1=2x-1 | | 4(f-8)=-32 | | 10(x-5)=-132 | | (-.02)+.25+(-43)= |