If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6r2 + 46r + -16 = 11 Reorder the terms: -16 + 46r + 6r2 = 11 Solving -16 + 46r + 6r2 = 11 Solving for variable 'r'. Reorder the terms: -16 + -11 + 46r + 6r2 = 11 + -11 Combine like terms: -16 + -11 = -27 -27 + 46r + 6r2 = 11 + -11 Combine like terms: 11 + -11 = 0 -27 + 46r + 6r2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -4.5 + 7.666666667r + r2 = 0 Move the constant term to the right: Add '4.5' to each side of the equation. -4.5 + 7.666666667r + 4.5 + r2 = 0 + 4.5 Reorder the terms: -4.5 + 4.5 + 7.666666667r + r2 = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 7.666666667r + r2 = 0 + 4.5 7.666666667r + r2 = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 7.666666667r + r2 = 4.5 The r term is 7.666666667r. Take half its coefficient (3.833333334). Square it (14.69444445) and add it to both sides. Add '14.69444445' to each side of the equation. 7.666666667r + 14.69444445 + r2 = 4.5 + 14.69444445 Reorder the terms: 14.69444445 + 7.666666667r + r2 = 4.5 + 14.69444445 Combine like terms: 4.5 + 14.69444445 = 19.19444445 14.69444445 + 7.666666667r + r2 = 19.19444445 Factor a perfect square on the left side: (r + 3.833333334)(r + 3.833333334) = 19.19444445 Calculate the square root of the right side: 4.381146477 Break this problem into two subproblems by setting (r + 3.833333334) equal to 4.381146477 and -4.381146477.Subproblem 1
r + 3.833333334 = 4.381146477 Simplifying r + 3.833333334 = 4.381146477 Reorder the terms: 3.833333334 + r = 4.381146477 Solving 3.833333334 + r = 4.381146477 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.833333334' to each side of the equation. 3.833333334 + -3.833333334 + r = 4.381146477 + -3.833333334 Combine like terms: 3.833333334 + -3.833333334 = 0.000000000 0.000000000 + r = 4.381146477 + -3.833333334 r = 4.381146477 + -3.833333334 Combine like terms: 4.381146477 + -3.833333334 = 0.547813143 r = 0.547813143 Simplifying r = 0.547813143Subproblem 2
r + 3.833333334 = -4.381146477 Simplifying r + 3.833333334 = -4.381146477 Reorder the terms: 3.833333334 + r = -4.381146477 Solving 3.833333334 + r = -4.381146477 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.833333334' to each side of the equation. 3.833333334 + -3.833333334 + r = -4.381146477 + -3.833333334 Combine like terms: 3.833333334 + -3.833333334 = 0.000000000 0.000000000 + r = -4.381146477 + -3.833333334 r = -4.381146477 + -3.833333334 Combine like terms: -4.381146477 + -3.833333334 = -8.214479811 r = -8.214479811 Simplifying r = -8.214479811Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.547813143, -8.214479811}
| 6y-9-4y+6=0 | | 2p/5=4 | | -5c=25 | | 30-10x=50 | | n/-2=-4 | | 8(6-2x)-8x=-120 | | X=7-2/3 | | 7(x+1)3(x-1)= | | 6x-3x=6+9 | | x=15+-0.1666666667y | | 6x+3x=6+9 | | 8/p=9/7 | | 8+2m+7=21 | | A-6/8=2/13 | | -5y+10=30 | | 20/18=75w | | 6/8=21/m | | 7x-3-5(x-1)=2x-5 | | 5m/4-m/6_7m/12 | | 2x-5=7x-5 | | 3.3+10m=6.94 | | 2/4x-2/3x=-1 | | X^4-(1/9)*x^2=0 | | 5+7-2x-45= | | -109=-28+14a+3 | | 5x/3-7/4=11x/12 | | 3=12/x^2 | | 3(x-4)+9=4(x+8) | | 45=1/2(10)(x^2) | | 21=x-4+2x+10 | | -3(r-8)=-59 | | (7/49-x^2)/(5x/7-x) |