If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6r2 + -12r = 8 Reorder the terms: -12r + 6r2 = 8 Solving -12r + 6r2 = 8 Solving for variable 'r'. Reorder the terms: -8 + -12r + 6r2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -12r + 6r2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -6r + 3r2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -6r + 3r2)' equal to zero and attempt to solve: Simplifying -4 + -6r + 3r2 = 0 Solving -4 + -6r + 3r2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1.333333333 + -2r + r2 = 0 Move the constant term to the right: Add '1.333333333' to each side of the equation. -1.333333333 + -2r + 1.333333333 + r2 = 0 + 1.333333333 Reorder the terms: -1.333333333 + 1.333333333 + -2r + r2 = 0 + 1.333333333 Combine like terms: -1.333333333 + 1.333333333 = 0.000000000 0.000000000 + -2r + r2 = 0 + 1.333333333 -2r + r2 = 0 + 1.333333333 Combine like terms: 0 + 1.333333333 = 1.333333333 -2r + r2 = 1.333333333 The r term is -2r. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2r + 1 + r2 = 1.333333333 + 1 Reorder the terms: 1 + -2r + r2 = 1.333333333 + 1 Combine like terms: 1.333333333 + 1 = 2.333333333 1 + -2r + r2 = 2.333333333 Factor a perfect square on the left side: (r + -1)(r + -1) = 2.333333333 Calculate the square root of the right side: 1.527525232 Break this problem into two subproblems by setting (r + -1) equal to 1.527525232 and -1.527525232.Subproblem 1
r + -1 = 1.527525232 Simplifying r + -1 = 1.527525232 Reorder the terms: -1 + r = 1.527525232 Solving -1 + r = 1.527525232 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + r = 1.527525232 + 1 Combine like terms: -1 + 1 = 0 0 + r = 1.527525232 + 1 r = 1.527525232 + 1 Combine like terms: 1.527525232 + 1 = 2.527525232 r = 2.527525232 Simplifying r = 2.527525232Subproblem 2
r + -1 = -1.527525232 Simplifying r + -1 = -1.527525232 Reorder the terms: -1 + r = -1.527525232 Solving -1 + r = -1.527525232 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + r = -1.527525232 + 1 Combine like terms: -1 + 1 = 0 0 + r = -1.527525232 + 1 r = -1.527525232 + 1 Combine like terms: -1.527525232 + 1 = -0.527525232 r = -0.527525232 Simplifying r = -0.527525232Solution
The solution to the problem is based on the solutions from the subproblems. r = {2.527525232, -0.527525232}Solution
r = {2.527525232, -0.527525232}
| 9=20t-5t^2 | | -8x+2=11x+5 | | 10x+15y+12+8x-13y-4= | | 7+12x=43-2x | | (7x-13)+(8x-7)=360 | | 4(8-x)-42=26x-5(2+6x) | | x^2+17x=-97 | | 5x=7y+5 | | 14x-13x-x+4x-3x=38 | | 4x-3/2=3/7 | | 5Y+3(-5Y+5)=3 | | D^2(d^2-3)-2d^2-3=0 | | 65n=-50 | | 46c-11c+c+5c-29c=24 | | 12x+10y=142 | | 4x-10=8x | | X-34.6=27.62 | | .04x+.07(14000-x)=840 | | -x+16y=2 | | u-2.6+1.9=-3.2-0.009 | | 12/9=8/8 | | x^2+2x=5000 | | (X^3-6x^2-21x-18)(2x-1)=(2x-1) | | -7x-10=-13 | | 5+2r-1=8r+22-4r | | y=(p+2)(-5P+4) | | 3x-10=3x-5 | | -2x^2-x=4 | | -6=3+n | | m(m=1/2)=24 | | W+7.07=21.34 | | (D^4-1)y(t)=0 |