If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 81x2 + 144x + 54 = 10 Reorder the terms: 54 + 144x + 81x2 = 10 Solving 54 + 144x + 81x2 = 10 Solving for variable 'x'. Reorder the terms: 54 + -10 + 144x + 81x2 = 10 + -10 Combine like terms: 54 + -10 = 44 44 + 144x + 81x2 = 10 + -10 Combine like terms: 10 + -10 = 0 44 + 144x + 81x2 = 0 Begin completing the square. Divide all terms by 81 the coefficient of the squared term: Divide each side by '81'. 0.5432098765 + 1.777777778x + x2 = 0 Move the constant term to the right: Add '-0.5432098765' to each side of the equation. 0.5432098765 + 1.777777778x + -0.5432098765 + x2 = 0 + -0.5432098765 Reorder the terms: 0.5432098765 + -0.5432098765 + 1.777777778x + x2 = 0 + -0.5432098765 Combine like terms: 0.5432098765 + -0.5432098765 = 0.0000000000 0.0000000000 + 1.777777778x + x2 = 0 + -0.5432098765 1.777777778x + x2 = 0 + -0.5432098765 Combine like terms: 0 + -0.5432098765 = -0.5432098765 1.777777778x + x2 = -0.5432098765 The x term is 1.777777778x. Take half its coefficient (0.888888889). Square it (0.7901234570) and add it to both sides. Add '0.7901234570' to each side of the equation. 1.777777778x + 0.7901234570 + x2 = -0.5432098765 + 0.7901234570 Reorder the terms: 0.7901234570 + 1.777777778x + x2 = -0.5432098765 + 0.7901234570 Combine like terms: -0.5432098765 + 0.7901234570 = 0.2469135805 0.7901234570 + 1.777777778x + x2 = 0.2469135805 Factor a perfect square on the left side: (x + 0.888888889)(x + 0.888888889) = 0.2469135805 Calculate the square root of the right side: 0.496903995 Break this problem into two subproblems by setting (x + 0.888888889) equal to 0.496903995 and -0.496903995.Subproblem 1
x + 0.888888889 = 0.496903995 Simplifying x + 0.888888889 = 0.496903995 Reorder the terms: 0.888888889 + x = 0.496903995 Solving 0.888888889 + x = 0.496903995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.888888889' to each side of the equation. 0.888888889 + -0.888888889 + x = 0.496903995 + -0.888888889 Combine like terms: 0.888888889 + -0.888888889 = 0.000000000 0.000000000 + x = 0.496903995 + -0.888888889 x = 0.496903995 + -0.888888889 Combine like terms: 0.496903995 + -0.888888889 = -0.391984894 x = -0.391984894 Simplifying x = -0.391984894Subproblem 2
x + 0.888888889 = -0.496903995 Simplifying x + 0.888888889 = -0.496903995 Reorder the terms: 0.888888889 + x = -0.496903995 Solving 0.888888889 + x = -0.496903995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.888888889' to each side of the equation. 0.888888889 + -0.888888889 + x = -0.496903995 + -0.888888889 Combine like terms: 0.888888889 + -0.888888889 = 0.000000000 0.000000000 + x = -0.496903995 + -0.888888889 x = -0.496903995 + -0.888888889 Combine like terms: -0.496903995 + -0.888888889 = -1.385792884 x = -1.385792884 Simplifying x = -1.385792884Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.391984894, -1.385792884}
| 4x-6x+7=21 | | 2x^2+20x=10 | | 3[2t+6]=0 | | .8*60=x | | 30x+45x=60 | | 3x+8=2x-42 | | 0.25(3x-2)=0.4 | | 30x=45x | | 3x^2+50x-53=0 | | 88-(6x+7)=6(x+7)+x | | 5p+7(p-5)-3(q-5)= | | 5w-16=-41 | | 2x-[9-3(4x-7)]=27 | | 9x(2+3x)(2-3x)= | | 5[x-3]=-15 | | 6x^2-3x=30 | | 4(2x+7)-3(x+8)=14 | | 36=4d-12 | | y=x^2-11x+6 | | 9x(2+3x)(-2-3x)= | | -2(y+3)+4y=3(y+1)-6 | | 2(4x-1)+2(x-2)=4 | | 2[x-2]=12 | | -9+4r=4r-6-3 | | x^2-10+49=4x+1 | | (x-9)+7= | | (3y-5)(y+7v-2)= | | (6x+9)-2x-5=38 | | .5x=.5x-25 | | 4-9x^2= | | 5(2x-8)-4=5(x-4)+21 | | 4n^3-32n^2+60n= |