If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3r2 + -10r + -14 = 10 Reorder the terms: -14 + -10r + 3r2 = 10 Solving -14 + -10r + 3r2 = 10 Solving for variable 'r'. Reorder the terms: -14 + -10 + -10r + 3r2 = 10 + -10 Combine like terms: -14 + -10 = -24 -24 + -10r + 3r2 = 10 + -10 Combine like terms: 10 + -10 = 0 -24 + -10r + 3r2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -8 + -3.333333333r + r2 = 0 Move the constant term to the right: Add '8' to each side of the equation. -8 + -3.333333333r + 8 + r2 = 0 + 8 Reorder the terms: -8 + 8 + -3.333333333r + r2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3.333333333r + r2 = 0 + 8 -3.333333333r + r2 = 0 + 8 Combine like terms: 0 + 8 = 8 -3.333333333r + r2 = 8 The r term is -3.333333333r. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333r + 2.777777779 + r2 = 8 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333r + r2 = 8 + 2.777777779 Combine like terms: 8 + 2.777777779 = 10.777777779 2.777777779 + -3.333333333r + r2 = 10.777777779 Factor a perfect square on the left side: (r + -1.666666667)(r + -1.666666667) = 10.777777779 Calculate the square root of the right side: 3.282952601 Break this problem into two subproblems by setting (r + -1.666666667) equal to 3.282952601 and -3.282952601.Subproblem 1
r + -1.666666667 = 3.282952601 Simplifying r + -1.666666667 = 3.282952601 Reorder the terms: -1.666666667 + r = 3.282952601 Solving -1.666666667 + r = 3.282952601 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.666666667' to each side of the equation. -1.666666667 + 1.666666667 + r = 3.282952601 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + r = 3.282952601 + 1.666666667 r = 3.282952601 + 1.666666667 Combine like terms: 3.282952601 + 1.666666667 = 4.949619268 r = 4.949619268 Simplifying r = 4.949619268Subproblem 2
r + -1.666666667 = -3.282952601 Simplifying r + -1.666666667 = -3.282952601 Reorder the terms: -1.666666667 + r = -3.282952601 Solving -1.666666667 + r = -3.282952601 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.666666667' to each side of the equation. -1.666666667 + 1.666666667 + r = -3.282952601 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + r = -3.282952601 + 1.666666667 r = -3.282952601 + 1.666666667 Combine like terms: -3.282952601 + 1.666666667 = -1.616285934 r = -1.616285934 Simplifying r = -1.616285934Solution
The solution to the problem is based on the solutions from the subproblems. r = {4.949619268, -1.616285934}
| 2c+14=22 | | 165=-5x | | -4j-(-15)/-7=13 | | 3x/12x+3x/3x=1/5 | | 10d+12=20 | | 7/2/7/8z | | 9(3x)+4(3x)=30x+5 | | 0.25d(d-12)=4 | | 32+5=8 | | 10x+6y=3800 | | 3(4x)+7(5x)=2x+5 | | 30n+5n+10=500 | | 1.12V=0.67(-10.5+1V) | | x(15+7x)=0 | | -3-1/2 | | -3-1/2+7/8z | | x/3x=-8 | | 8z=14-38 | | 8y(y-1)-3y=6(2y-6) | | 4x-[5y-2(3x+2y)]= | | 7*14= | | 90+8(s-5)=3(6+4s) | | 16y^2+4=4 | | 489+x/2=2x | | 4n^2+80n+40=0 | | 12+x/3=4 | | 7/8z+1/2=-3 | | -1+3.2y=3 | | 11x+7y=56 | | -75.00+7.50=0 | | z/4+2=-4z/4 | | 7x-(6x+8)=-5 |