If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 32x2 + 10x + -15 = 0 Reorder the terms: -15 + 10x + 32x2 = 0 Solving -15 + 10x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. -0.46875 + 0.3125x + x2 = 0 Move the constant term to the right: Add '0.46875' to each side of the equation. -0.46875 + 0.3125x + 0.46875 + x2 = 0 + 0.46875 Reorder the terms: -0.46875 + 0.46875 + 0.3125x + x2 = 0 + 0.46875 Combine like terms: -0.46875 + 0.46875 = 0.00000 0.00000 + 0.3125x + x2 = 0 + 0.46875 0.3125x + x2 = 0 + 0.46875 Combine like terms: 0 + 0.46875 = 0.46875 0.3125x + x2 = 0.46875 The x term is 0.3125x. Take half its coefficient (0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. 0.3125x + 0.0244140625 + x2 = 0.46875 + 0.0244140625 Reorder the terms: 0.0244140625 + 0.3125x + x2 = 0.46875 + 0.0244140625 Combine like terms: 0.46875 + 0.0244140625 = 0.4931640625 0.0244140625 + 0.3125x + x2 = 0.4931640625 Factor a perfect square on the left side: (x + 0.15625)(x + 0.15625) = 0.4931640625 Calculate the square root of the right side: 0.702256408 Break this problem into two subproblems by setting (x + 0.15625) equal to 0.702256408 and -0.702256408.Subproblem 1
x + 0.15625 = 0.702256408 Simplifying x + 0.15625 = 0.702256408 Reorder the terms: 0.15625 + x = 0.702256408 Solving 0.15625 + x = 0.702256408 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15625' to each side of the equation. 0.15625 + -0.15625 + x = 0.702256408 + -0.15625 Combine like terms: 0.15625 + -0.15625 = 0.00000 0.00000 + x = 0.702256408 + -0.15625 x = 0.702256408 + -0.15625 Combine like terms: 0.702256408 + -0.15625 = 0.546006408 x = 0.546006408 Simplifying x = 0.546006408Subproblem 2
x + 0.15625 = -0.702256408 Simplifying x + 0.15625 = -0.702256408 Reorder the terms: 0.15625 + x = -0.702256408 Solving 0.15625 + x = -0.702256408 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15625' to each side of the equation. 0.15625 + -0.15625 + x = -0.702256408 + -0.15625 Combine like terms: 0.15625 + -0.15625 = 0.00000 0.00000 + x = -0.702256408 + -0.15625 x = -0.702256408 + -0.15625 Combine like terms: -0.702256408 + -0.15625 = -0.858506408 x = -0.858506408 Simplifying x = -0.858506408Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.546006408, -0.858506408}
| 26=-41-5x | | 10-4y=-40 | | ln(5x-2)-ln(3x+2)=0 | | 2x-0.2=2x | | 0.8w-0.6w+0.3w=5 | | 4x-15=-6x | | a+6b=1 | | 2x+x+(x+3)=18 | | ln(x+1)+ln(x-2)=2ln(2) | | 3n-7n=32 | | (19b-3)-9(2b+3)=-3 | | 9x+4x+3+7=9x+3+3x | | -8y+5=-9y+6 | | 3p+7=15+2p | | X*ln(x)-20+5*ln(x)-4*x=0 | | 5.3x-3.44=4.24-4.3 | | 10x-110=4x-8 | | 10x-100=4x-8 | | 45-6x=3x+16 | | 15+3y=3(y+5) | | 6-2x=6x-10+4 | | 1+y^2-2+7y+2=0 | | 3x+15=6x-6-3x | | x^2+y^2-2x+7y+2=0 | | 8b+3-10v=-2(b-2)+3 | | (x+2)-(3x-2)=-10+3 | | 8w-(6w-5)=1 | | 3(4y-1)-2=8-5.8 | | -x^5+5x^3-4x=0 | | 0.032-c=0.017-0.09 | | 6x-(4x-7)=0 | | -14x+3x^2-24=0 |