If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4r2 + 9r + -12 = 0 Reorder the terms: -12 + 9r + 4r2 = 0 Solving -12 + 9r + 4r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -3 + 2.25r + r2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + 2.25r + 3 + r2 = 0 + 3 Reorder the terms: -3 + 3 + 2.25r + r2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2.25r + r2 = 0 + 3 2.25r + r2 = 0 + 3 Combine like terms: 0 + 3 = 3 2.25r + r2 = 3 The r term is 2.25r. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25r + 1.265625 + r2 = 3 + 1.265625 Reorder the terms: 1.265625 + 2.25r + r2 = 3 + 1.265625 Combine like terms: 3 + 1.265625 = 4.265625 1.265625 + 2.25r + r2 = 4.265625 Factor a perfect square on the left side: (r + 1.125)(r + 1.125) = 4.265625 Calculate the square root of the right side: 2.065338955 Break this problem into two subproblems by setting (r + 1.125) equal to 2.065338955 and -2.065338955.Subproblem 1
r + 1.125 = 2.065338955 Simplifying r + 1.125 = 2.065338955 Reorder the terms: 1.125 + r = 2.065338955 Solving 1.125 + r = 2.065338955 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + r = 2.065338955 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + r = 2.065338955 + -1.125 r = 2.065338955 + -1.125 Combine like terms: 2.065338955 + -1.125 = 0.940338955 r = 0.940338955 Simplifying r = 0.940338955Subproblem 2
r + 1.125 = -2.065338955 Simplifying r + 1.125 = -2.065338955 Reorder the terms: 1.125 + r = -2.065338955 Solving 1.125 + r = -2.065338955 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + r = -2.065338955 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + r = -2.065338955 + -1.125 r = -2.065338955 + -1.125 Combine like terms: -2.065338955 + -1.125 = -3.190338955 r = -3.190338955 Simplifying r = -3.190338955Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.940338955, -3.190338955}
| -30=-8w+6(w-3) | | x^2+x+1=-5x-4 | | 6x^2-7x-16=0 | | 4a^2+5a-14=0 | | (2x-6)=(x+7) | | (X+1)*(X-1)*(X-2)-(X^2+7X)*(X-4)-2=2X | | 5x+133=10x-7 | | 5x+133=10-7 | | -2(x+5)=-14-x | | 6n^2+7n-98=0 | | -18-15t=-6t+18 | | y^4+6y^2-4=0 | | Y=x(6)-1 | | 7x^2+39x+12=0 | | Y=x(6)+1 | | 2n^2+9n-26=0 | | p^3+2p^2-63p=0 | | 12-4(5x+3y)= | | 2x+9=-2x+3+4x | | 50+10x=-37 | | 15x^2+23x-896=0 | | 3a+3b=9 | | 6k^2-24k-270=0 | | 3x+8(-x+1)=-22 | | 4x=t+57 | | q+10=0 | | 3b+ab=x | | 3x+8(x+1)=-22 | | n^2+3n-70= | | 3x+8(x+10)=-22 | | 5+65x=52x+9 | | 5k^2-10k-175=0 |