If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -1.1x2 + 160x + 400 Reorder the terms: 0 = 400 + 160x + -1.1x2 Solving 0 = 400 + 160x + -1.1x2 Solving for variable 'x'. Combine like terms: 0 + -400 = -400 -400 + -160x + 1.1x2 = 400 + 160x + -1.1x2 + -400 + -160x + 1.1x2 Reorder the terms: -400 + -160x + 1.1x2 = 400 + -400 + 160x + -160x + -1.1x2 + 1.1x2 Combine like terms: 400 + -400 = 0 -400 + -160x + 1.1x2 = 0 + 160x + -160x + -1.1x2 + 1.1x2 -400 + -160x + 1.1x2 = 160x + -160x + -1.1x2 + 1.1x2 Combine like terms: 160x + -160x = 0 -400 + -160x + 1.1x2 = 0 + -1.1x2 + 1.1x2 -400 + -160x + 1.1x2 = -1.1x2 + 1.1x2 Combine like terms: -1.1x2 + 1.1x2 = 0.0 -400 + -160x + 1.1x2 = 0.0 Begin completing the square. Divide all terms by 1.1 the coefficient of the squared term: Divide each side by '1.1'. -363.6363636 + -145.4545455x + x2 = 0 Move the constant term to the right: Add '363.6363636' to each side of the equation. -363.6363636 + -145.4545455x + 363.6363636 + x2 = 0 + 363.6363636 Reorder the terms: -363.6363636 + 363.6363636 + -145.4545455x + x2 = 0 + 363.6363636 Combine like terms: -363.6363636 + 363.6363636 = 0.0000000 0.0000000 + -145.4545455x + x2 = 0 + 363.6363636 -145.4545455x + x2 = 0 + 363.6363636 Combine like terms: 0 + 363.6363636 = 363.6363636 -145.4545455x + x2 = 363.6363636 The x term is -145.4545455x. Take half its coefficient (-72.72727275). Square it (5289.256202) and add it to both sides. Add '5289.256202' to each side of the equation. -145.4545455x + 5289.256202 + x2 = 363.6363636 + 5289.256202 Reorder the terms: 5289.256202 + -145.4545455x + x2 = 363.6363636 + 5289.256202 Combine like terms: 363.6363636 + 5289.256202 = 5652.8925656 5289.256202 + -145.4545455x + x2 = 5652.8925656 Factor a perfect square on the left side: (x + -72.72727275)(x + -72.72727275) = 5652.8925656 Calculate the square root of the right side: 75.18572049 Break this problem into two subproblems by setting (x + -72.72727275) equal to 75.18572049 and -75.18572049.Subproblem 1
x + -72.72727275 = 75.18572049 Simplifying x + -72.72727275 = 75.18572049 Reorder the terms: -72.72727275 + x = 75.18572049 Solving -72.72727275 + x = 75.18572049 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72.72727275' to each side of the equation. -72.72727275 + 72.72727275 + x = 75.18572049 + 72.72727275 Combine like terms: -72.72727275 + 72.72727275 = 0.00000000 0.00000000 + x = 75.18572049 + 72.72727275 x = 75.18572049 + 72.72727275 Combine like terms: 75.18572049 + 72.72727275 = 147.91299324 x = 147.91299324 Simplifying x = 147.91299324Subproblem 2
x + -72.72727275 = -75.18572049 Simplifying x + -72.72727275 = -75.18572049 Reorder the terms: -72.72727275 + x = -75.18572049 Solving -72.72727275 + x = -75.18572049 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72.72727275' to each side of the equation. -72.72727275 + 72.72727275 + x = -75.18572049 + 72.72727275 Combine like terms: -72.72727275 + 72.72727275 = 0.00000000 0.00000000 + x = -75.18572049 + 72.72727275 x = -75.18572049 + 72.72727275 Combine like terms: -75.18572049 + 72.72727275 = -2.45844774 x = -2.45844774 Simplifying x = -2.45844774Solution
The solution to the problem is based on the solutions from the subproblems. x = {147.91299324, -2.45844774}
| 6x^2+10x-21=7-7x | | 36+x=(24+3x) | | y=-1.1x^2+160x+400 | | 1/8^x=3=16^2x-1 | | -5(z+9)=5-4z | | y^2-4y=-x^2 | | 8j^4+6j^4+2j^2= | | (A*0.06)+A=10 | | x^2+y^2=4y | | 3x-5x+3=5x+31 | | q^2=5q | | f(x)=3x^2-x+12 | | 4x+12-2x=8+4x-6 | | (5)/(8)-(20)/(32) | | -2x+50=0 | | (x-1)/3=(2x-1)/8 | | 8t+18=10t-12 | | 4(3x-7)-6=4(x-3)+18 | | 36+x=3(8+x) | | 2x+x+x+9=x+2x+11 | | 4+19+10p-7+5p^2+13= | | 2x-3x+5x=5+15 | | 10(z+2)-2(z-2)=3(z-3)+4(z-4) | | .4p-3.6=4.3p-9.0-3.6 | | -3+4x=6x-3 | | X^2-2-8x=0 | | 8(4x-5)=7(x+3)-18 | | x-5/8=-1/6 | | 11(z+3)-2(z-4)=4(z-4)+4(z-2) | | -4(8x-3y+9z)+2(x-2y+9)= | | -9x+y=2 | | -3x/8=24 |