If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2r(r + -3) = 3 Reorder the terms: 2r(-3 + r) = 3 (-3 * 2r + r * 2r) = 3 (-6r + 2r2) = 3 Solving -6r + 2r2 = 3 Solving for variable 'r'. Reorder the terms: -3 + -6r + 2r2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -6r + 2r2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + -3r + r2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -3r + 1.5 + r2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -3r + r2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3r + r2 = 0 + 1.5 -3r + r2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -3r + r2 = 1.5 The r term is -3r. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3r + 2.25 + r2 = 1.5 + 2.25 Reorder the terms: 2.25 + -3r + r2 = 1.5 + 2.25 Combine like terms: 1.5 + 2.25 = 3.75 2.25 + -3r + r2 = 3.75 Factor a perfect square on the left side: (r + -1.5)(r + -1.5) = 3.75 Calculate the square root of the right side: 1.936491673 Break this problem into two subproblems by setting (r + -1.5) equal to 1.936491673 and -1.936491673.Subproblem 1
r + -1.5 = 1.936491673 Simplifying r + -1.5 = 1.936491673 Reorder the terms: -1.5 + r = 1.936491673 Solving -1.5 + r = 1.936491673 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + r = 1.936491673 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + r = 1.936491673 + 1.5 r = 1.936491673 + 1.5 Combine like terms: 1.936491673 + 1.5 = 3.436491673 r = 3.436491673 Simplifying r = 3.436491673Subproblem 2
r + -1.5 = -1.936491673 Simplifying r + -1.5 = -1.936491673 Reorder the terms: -1.5 + r = -1.936491673 Solving -1.5 + r = -1.936491673 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + r = -1.936491673 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + r = -1.936491673 + 1.5 r = -1.936491673 + 1.5 Combine like terms: -1.936491673 + 1.5 = -0.436491673 r = -0.436491673 Simplifying r = -0.436491673Solution
The solution to the problem is based on the solutions from the subproblems. r = {3.436491673, -0.436491673}
| -15.00+2.00w=-11 | | -15+2w=11 | | 3/2(4x-3) | | -16t^2+128t+320= | | -16t+128t+320= | | 53x=56x | | 4(x-5)+7y=3-2(5x+1) | | x(28+25)=x(29+27) | | 5.2t+2.12=-46.76 | | x/2-x=3 | | -3/8y=-2/5 | | -3(x+5)-42=2-35 | | 10x+1-9x=10 | | x=8,6 | | 5x-3x-4=-2.4 | | .80(x-100)=x-50 | | 750x+14800=29800-500x | | 6(14)+2(14+7)= | | 2x+4y/1+3y | | 750x+14800=500x+29800 | | -10+x=x+16 | | 3(a+36)+5=-34 | | 144000=12000(x+700) | | 12t-36+(-8t)=44 | | 7x=10x-15 | | 9y+6=4y-8 | | 4x-40+(-2x)=10 | | 4x-40+(-2x)=40 | | 12000(x+700)=144000 | | -3t-(-45)+12t=-18 | | -16t^2+80t+224= | | 3y-(-5)+5y=-3 |