If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3.13r2 + -2(3.14) * r = 24(3.14) Multiply -2 * 3.14 3.13r2 + -6.28r = 24(3.14) Reorder the terms: -6.28r + 3.13r2 = 24(3.14) Multiply 24 * 3.14 -6.28r + 3.13r2 = 75.36 Solving -6.28r + 3.13r2 = 75.36 Solving for variable 'r'. Reorder the terms: -75.36 + -6.28r + 3.13r2 = 75.36 + -75.36 Combine like terms: 75.36 + -75.36 = 0.00 -75.36 + -6.28r + 3.13r2 = 0.00 Begin completing the square. Divide all terms by 3.13 the coefficient of the squared term: Divide each side by '3.13'. -24.07667732 + -2.006389776r + r2 = 0 Move the constant term to the right: Add '24.07667732' to each side of the equation. -24.07667732 + -2.006389776r + 24.07667732 + r2 = 0 + 24.07667732 Reorder the terms: -24.07667732 + 24.07667732 + -2.006389776r + r2 = 0 + 24.07667732 Combine like terms: -24.07667732 + 24.07667732 = 0.00000000 0.00000000 + -2.006389776r + r2 = 0 + 24.07667732 -2.006389776r + r2 = 0 + 24.07667732 Combine like terms: 0 + 24.07667732 = 24.07667732 -2.006389776r + r2 = 24.07667732 The r term is -2.006389776r. Take half its coefficient (-1.003194888). Square it (1.006399983) and add it to both sides. Add '1.006399983' to each side of the equation. -2.006389776r + 1.006399983 + r2 = 24.07667732 + 1.006399983 Reorder the terms: 1.006399983 + -2.006389776r + r2 = 24.07667732 + 1.006399983 Combine like terms: 24.07667732 + 1.006399983 = 25.083077303 1.006399983 + -2.006389776r + r2 = 25.083077303 Factor a perfect square on the left side: (r + -1.003194888)(r + -1.003194888) = 25.083077303 Calculate the square root of the right side: 5.00830084 Break this problem into two subproblems by setting (r + -1.003194888) equal to 5.00830084 and -5.00830084.Subproblem 1
r + -1.003194888 = 5.00830084 Simplifying r + -1.003194888 = 5.00830084 Reorder the terms: -1.003194888 + r = 5.00830084 Solving -1.003194888 + r = 5.00830084 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.003194888' to each side of the equation. -1.003194888 + 1.003194888 + r = 5.00830084 + 1.003194888 Combine like terms: -1.003194888 + 1.003194888 = 0.000000000 0.000000000 + r = 5.00830084 + 1.003194888 r = 5.00830084 + 1.003194888 Combine like terms: 5.00830084 + 1.003194888 = 6.011495728 r = 6.011495728 Simplifying r = 6.011495728Subproblem 2
r + -1.003194888 = -5.00830084 Simplifying r + -1.003194888 = -5.00830084 Reorder the terms: -1.003194888 + r = -5.00830084 Solving -1.003194888 + r = -5.00830084 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.003194888' to each side of the equation. -1.003194888 + 1.003194888 + r = -5.00830084 + 1.003194888 Combine like terms: -1.003194888 + 1.003194888 = 0.000000000 0.000000000 + r = -5.00830084 + 1.003194888 r = -5.00830084 + 1.003194888 Combine like terms: -5.00830084 + 1.003194888 = -4.005105952 r = -4.005105952 Simplifying r = -4.005105952Solution
The solution to the problem is based on the solutions from the subproblems. r = {6.011495728, -4.005105952}
| y=10x+(x^2)+38.5 | | 3x+21(x-4)=66 | | g+6=-12 | | 16t^2-99=0 | | 4*(x^3)-4=0 | | x(8x+7)=3x^2-16x+42 | | 12=4+f | | 4=-5+y | | 28000=2297d^2+18378d | | 25x^2=144 | | 4a=-32 | | 56x+7x=23 | | 3y=5sin(x-4) | | 8m^2=-40m | | 50=10x+x^2+39 | | 4(-14)-y=3 | | (cos^2)x=(1/2)sin2x | | E=mc+c | | 7x-2(3+4x)=8 | | 10(10+x-3)=8(8+x+3) | | 2x^4-5x^3-4x^2=0 | | 14x^2-15x-25=0 | | 0.4c+40=0 | | y+10=2(x+8) | | 400=(2x-6)(x) | | 2(x+3)x=-4 | | (-1/8x^8)(-1/9x) | | -3/14x^2/12/49x^3 | | 12x+5=77 | | 3/5(x=2)=x-4 | | 7x+6=6+8 | | 2y=-6+8 |