If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3r3 + -3r2 + 4r = 0 Reorder the terms: 4r + -3r2 + -3r3 = 0 Solving 4r + -3r2 + -3r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(4 + -3r + -3r2) = 0Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(4 + -3r + -3r2)' equal to zero and attempt to solve: Simplifying 4 + -3r + -3r2 = 0 Solving 4 + -3r + -3r2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -1.333333333 + r + r2 = 0 Move the constant term to the right: Add '1.333333333' to each side of the equation. -1.333333333 + r + 1.333333333 + r2 = 0 + 1.333333333 Reorder the terms: -1.333333333 + 1.333333333 + r + r2 = 0 + 1.333333333 Combine like terms: -1.333333333 + 1.333333333 = 0.000000000 0.000000000 + r + r2 = 0 + 1.333333333 r + r2 = 0 + 1.333333333 Combine like terms: 0 + 1.333333333 = 1.333333333 r + r2 = 1.333333333 The r term is r. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + r2 = 1.333333333 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + r2 = 1.333333333 + 0.25 Combine like terms: 1.333333333 + 0.25 = 1.583333333 1.25 + r2 = 1.583333333 Factor a perfect square on the left side: (r + 0.5)(r + 0.5) = 1.583333333 Calculate the square root of the right side: 1.258305739 Break this problem into two subproblems by setting (r + 0.5) equal to 1.258305739 and -1.258305739.Subproblem 1
r + 0.5 = 1.258305739 Simplifying r + 0.5 = 1.258305739 Reorder the terms: 0.5 + r = 1.258305739 Solving 0.5 + r = 1.258305739 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + r = 1.258305739 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + r = 1.258305739 + -0.5 r = 1.258305739 + -0.5 Combine like terms: 1.258305739 + -0.5 = 0.758305739 r = 0.758305739 Simplifying r = 0.758305739Subproblem 2
r + 0.5 = -1.258305739 Simplifying r + 0.5 = -1.258305739 Reorder the terms: 0.5 + r = -1.258305739 Solving 0.5 + r = -1.258305739 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + r = -1.258305739 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + r = -1.258305739 + -0.5 r = -1.258305739 + -0.5 Combine like terms: -1.258305739 + -0.5 = -1.758305739 r = -1.758305739 Simplifying r = -1.758305739Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.758305739, -1.758305739}Solution
r = {0, 0.758305739, -1.758305739}
| s=a^1/1-r | | -3(5x+7x)=-57 | | 0.5x+0.06(2-x)=1.88 | | -9x^4+63x^3+45x^2=0 | | (x+5)=-4 | | -5b+24=-8+48 | | 19.5x+20y=180 | | 39-9n=6n | | 2x+70+x+70=180 | | 7+(8+12)=15+12 | | 2-x/3=15 | | -1=18+x | | 8=6p-5p | | 50=10/x | | 9m+4(12-m)=0 | | 8(-3)/-1(2) | | -7(-4x-5)=35 | | 17-ln(3-x)=0 | | 3=3+m | | -5+(15y+1)=2(7y-16)-y | | 20x+1+81=61x | | 18x+20y=180 | | -3(y+7)= | | 2a+7.5=6.2-3c | | 2/3x=-90 | | 2/3×4 | | 4[2c-8]=16 | | 7(5+5x)=-385 | | y=x+46 | | 3x^3-75y^2x+36x^2+108x=0 | | 5(-2+5n)-2(n-1)=-54 | | 14+n=23 |