If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 21.4 = -0.26x2 + 3.62x + 30.18 Reorder the terms: 21.4 = 30.18 + 3.62x + -0.26x2 Solving 21.4 = 30.18 + 3.62x + -0.26x2 Solving for variable 'x'. Combine like terms: 21.4 + -30.18 = -8.78 -8.78 + -3.62x + 0.26x2 = 30.18 + 3.62x + -0.26x2 + -30.18 + -3.62x + 0.26x2 Reorder the terms: -8.78 + -3.62x + 0.26x2 = 30.18 + -30.18 + 3.62x + -3.62x + -0.26x2 + 0.26x2 Combine like terms: 30.18 + -30.18 = 0.00 -8.78 + -3.62x + 0.26x2 = 0.00 + 3.62x + -3.62x + -0.26x2 + 0.26x2 -8.78 + -3.62x + 0.26x2 = 3.62x + -3.62x + -0.26x2 + 0.26x2 Combine like terms: 3.62x + -3.62x = 0.00 -8.78 + -3.62x + 0.26x2 = 0.00 + -0.26x2 + 0.26x2 -8.78 + -3.62x + 0.26x2 = -0.26x2 + 0.26x2 Combine like terms: -0.26x2 + 0.26x2 = 0.00 -8.78 + -3.62x + 0.26x2 = 0.00 Begin completing the square. Divide all terms by 0.26 the coefficient of the squared term: Divide each side by '0.26'. -33.76923077 + -13.92307692x + x2 = 0 Move the constant term to the right: Add '33.76923077' to each side of the equation. -33.76923077 + -13.92307692x + 33.76923077 + x2 = 0 + 33.76923077 Reorder the terms: -33.76923077 + 33.76923077 + -13.92307692x + x2 = 0 + 33.76923077 Combine like terms: -33.76923077 + 33.76923077 = 0.00000000 0.00000000 + -13.92307692x + x2 = 0 + 33.76923077 -13.92307692x + x2 = 0 + 33.76923077 Combine like terms: 0 + 33.76923077 = 33.76923077 -13.92307692x + x2 = 33.76923077 The x term is -13.92307692x. Take half its coefficient (-6.96153846). Square it (48.46301773) and add it to both sides. Add '48.46301773' to each side of the equation. -13.92307692x + 48.46301773 + x2 = 33.76923077 + 48.46301773 Reorder the terms: 48.46301773 + -13.92307692x + x2 = 33.76923077 + 48.46301773 Combine like terms: 33.76923077 + 48.46301773 = 82.2322485 48.46301773 + -13.92307692x + x2 = 82.2322485 Factor a perfect square on the left side: (x + -6.96153846)(x + -6.96153846) = 82.2322485 Calculate the square root of the right side: 9.068199849 Break this problem into two subproblems by setting (x + -6.96153846) equal to 9.068199849 and -9.068199849.Subproblem 1
x + -6.96153846 = 9.068199849 Simplifying x + -6.96153846 = 9.068199849 Reorder the terms: -6.96153846 + x = 9.068199849 Solving -6.96153846 + x = 9.068199849 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.96153846' to each side of the equation. -6.96153846 + 6.96153846 + x = 9.068199849 + 6.96153846 Combine like terms: -6.96153846 + 6.96153846 = 0.00000000 0.00000000 + x = 9.068199849 + 6.96153846 x = 9.068199849 + 6.96153846 Combine like terms: 9.068199849 + 6.96153846 = 16.029738309 x = 16.029738309 Simplifying x = 16.029738309Subproblem 2
x + -6.96153846 = -9.068199849 Simplifying x + -6.96153846 = -9.068199849 Reorder the terms: -6.96153846 + x = -9.068199849 Solving -6.96153846 + x = -9.068199849 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.96153846' to each side of the equation. -6.96153846 + 6.96153846 + x = -9.068199849 + 6.96153846 Combine like terms: -6.96153846 + 6.96153846 = 0.00000000 0.00000000 + x = -9.068199849 + 6.96153846 x = -9.068199849 + 6.96153846 Combine like terms: -9.068199849 + 6.96153846 = -2.106661389 x = -2.106661389 Simplifying x = -2.106661389Solution
The solution to the problem is based on the solutions from the subproblems. x = {16.029738309, -2.106661389}
| 4(1/6)+-1(3/4)= | | 2x-10=7x-25 | | 1.09(1.25)(5-x)=6 | | 2.4*1.3= | | 21*(-2/3)= | | 4n+6=58 | | 3(x^2+4)-15=3 | | 17x+17y=-19 | | 1.06(1.22)(6-x)=7 | | 14/(-2/3)= | | Log[4]3x-2=-1 | | -x^2-66x=0 | | 60(10+z+3)= | | 2x+y+4+8x+120=180 | | 12x+25=90 | | 3(1/3)-2(1/2)= | | 2(x+18)=18x | | X^2-x-9=y | | 4z-7z=19 | | 2x+y+4+8x+20=180 | | -3[x-7]+2=20 | | Y-4=2+5 | | x-(-15)=33 | | -3-(4-6p)= | | sin^2x-sinx=2 | | 7(8+y)= | | -5/7m-2-6/7m=-13 | | -12x^2-88x+121=0 | | -54=3[2+5m] | | 3[m+5]=42 | | 17x-(-10n)=-18n-63 | | -7[r+8]=-14 |