If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + -3x + -30 = 360 Reorder the terms: -30 + -3x + 4x2 = 360 Solving -30 + -3x + 4x2 = 360 Solving for variable 'x'. Reorder the terms: -30 + -360 + -3x + 4x2 = 360 + -360 Combine like terms: -30 + -360 = -390 -390 + -3x + 4x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -390 + -3x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -97.5 + -0.75x + x2 = 0 Move the constant term to the right: Add '97.5' to each side of the equation. -97.5 + -0.75x + 97.5 + x2 = 0 + 97.5 Reorder the terms: -97.5 + 97.5 + -0.75x + x2 = 0 + 97.5 Combine like terms: -97.5 + 97.5 = 0.0 0.0 + -0.75x + x2 = 0 + 97.5 -0.75x + x2 = 0 + 97.5 Combine like terms: 0 + 97.5 = 97.5 -0.75x + x2 = 97.5 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = 97.5 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = 97.5 + 0.140625 Combine like terms: 97.5 + 0.140625 = 97.640625 0.140625 + -0.75x + x2 = 97.640625 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = 97.640625 Calculate the square root of the right side: 9.881327087 Break this problem into two subproblems by setting (x + -0.375) equal to 9.881327087 and -9.881327087.Subproblem 1
x + -0.375 = 9.881327087 Simplifying x + -0.375 = 9.881327087 Reorder the terms: -0.375 + x = 9.881327087 Solving -0.375 + x = 9.881327087 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + x = 9.881327087 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + x = 9.881327087 + 0.375 x = 9.881327087 + 0.375 Combine like terms: 9.881327087 + 0.375 = 10.256327087 x = 10.256327087 Simplifying x = 10.256327087Subproblem 2
x + -0.375 = -9.881327087 Simplifying x + -0.375 = -9.881327087 Reorder the terms: -0.375 + x = -9.881327087 Solving -0.375 + x = -9.881327087 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + x = -9.881327087 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + x = -9.881327087 + 0.375 x = -9.881327087 + 0.375 Combine like terms: -9.881327087 + 0.375 = -9.506327087 x = -9.506327087 Simplifying x = -9.506327087Solution
The solution to the problem is based on the solutions from the subproblems. x = {10.256327087, -9.506327087}
| 0.3(10)-0.8x+x=0.8(35) | | 4x^2-3x-330=0 | | 48=-12+6x | | -5b-3(-7-7b)=-3b-2 | | 6x+7=8x-1 | | 3.5x+4y=-3 | | 2x-88=47-7x | | 7(-6+4n)-6n=-4n+36 | | 232=10x+102 | | 8x-19+6x+3=180 | | -5+7x=-8+4x | | 6m+16=7m+12 | | 0.3x+0.8(20-x)=0.1(10) | | -57+4x=15 | | 2y+5(y-4)=3x+2 | | Log(x+2)1000=3 | | 6+7r=6+7r | | a^2-30a+225=0 | | 3x^3=y | | (5-6i)-(-8+2i)=0 | | 7n-2n=1+6n-7+8 | | 2t^2=25t+13 | | 5b-6-8b-8= | | 4a-2=6a-3a+6 | | 5+8x-3-2=4x+5x | | 10x-96=114+3x | | ax+9=7x+b | | 9x+5y= -60 | | 30y+2=14 | | 11-4r=-3(r-5) | | 3+r=6+6r-2r | | -49-2x=-6x+31 |