If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4r2 + 27r + 40 = 0 Reorder the terms: 40 + 27r + 4r2 = 0 Solving 40 + 27r + 4r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 10 + 6.75r + r2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6.75r + -10 + r2 = 0 + -10 Reorder the terms: 10 + -10 + 6.75r + r2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6.75r + r2 = 0 + -10 6.75r + r2 = 0 + -10 Combine like terms: 0 + -10 = -10 6.75r + r2 = -10 The r term is 6.75r. Take half its coefficient (3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. 6.75r + 11.390625 + r2 = -10 + 11.390625 Reorder the terms: 11.390625 + 6.75r + r2 = -10 + 11.390625 Combine like terms: -10 + 11.390625 = 1.390625 11.390625 + 6.75r + r2 = 1.390625 Factor a perfect square on the left side: (r + 3.375)(r + 3.375) = 1.390625 Calculate the square root of the right side: 1.179247642 Break this problem into two subproblems by setting (r + 3.375) equal to 1.179247642 and -1.179247642.Subproblem 1
r + 3.375 = 1.179247642 Simplifying r + 3.375 = 1.179247642 Reorder the terms: 3.375 + r = 1.179247642 Solving 3.375 + r = 1.179247642 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.375' to each side of the equation. 3.375 + -3.375 + r = 1.179247642 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + r = 1.179247642 + -3.375 r = 1.179247642 + -3.375 Combine like terms: 1.179247642 + -3.375 = -2.195752358 r = -2.195752358 Simplifying r = -2.195752358Subproblem 2
r + 3.375 = -1.179247642 Simplifying r + 3.375 = -1.179247642 Reorder the terms: 3.375 + r = -1.179247642 Solving 3.375 + r = -1.179247642 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.375' to each side of the equation. 3.375 + -3.375 + r = -1.179247642 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + r = -1.179247642 + -3.375 r = -1.179247642 + -3.375 Combine like terms: -1.179247642 + -3.375 = -4.554247642 r = -4.554247642 Simplifying r = -4.554247642Solution
The solution to the problem is based on the solutions from the subproblems. r = {-2.195752358, -4.554247642}
| 2x*54+2x*46=18 | | f(95)=2x+20 | | 5m^2+18m-16=0 | | 2x^2+34x=7208 | | -11x-70=-202 | | Z^2+8x+10=0 | | 6(1-5x)=-27 | | z^2+5z-2=0 | | -4(3v+9)=-26 | | y/13=-12 | | 4h-9h=19 | | 14/21.2=n/15 | | 9(5+6s)=-27 | | 9b-7-6=-34 | | 4m+9=-2(m-5)+2 | | 2(8z+6)=-17+9z | | 1/2(130) | | -19+7f=3(5f+6) | | -8.9=80.1 | | 5y+3=-7y+13 | | -9x=28.2 | | -7+2(1-8k)=-35 | | 23=-9y+8y | | 0.3(10+2y)=9 | | 23=-4(6c+3) | | 8(24)+o=432 | | 6x+37=139 | | 0.3b+5.4=-b+0.2 | | 19-3.7x=19 | | y=54-8y | | 2x+x^2=1+x^2 | | 12m^2+9m= |