If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -8x2 + 3x = -12 Reorder the terms: 3x + -8x2 = -12 Solving 3x + -8x2 = -12 Solving for variable 'x'. Reorder the terms: 12 + 3x + -8x2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 3x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -1.5 + -0.375x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -0.375x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -0.375x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.375x + x2 = 0 + 1.5 -0.375x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -0.375x + x2 = 1.5 The x term is -0.375x. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375x + 0.03515625 + x2 = 1.5 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x + x2 = 1.5 + 0.03515625 Combine like terms: 1.5 + 0.03515625 = 1.53515625 0.03515625 + -0.375x + x2 = 1.53515625 Factor a perfect square on the left side: (x + -0.1875)(x + -0.1875) = 1.53515625 Calculate the square root of the right side: 1.239014225 Break this problem into two subproblems by setting (x + -0.1875) equal to 1.239014225 and -1.239014225.Subproblem 1
x + -0.1875 = 1.239014225 Simplifying x + -0.1875 = 1.239014225 Reorder the terms: -0.1875 + x = 1.239014225 Solving -0.1875 + x = 1.239014225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1875' to each side of the equation. -0.1875 + 0.1875 + x = 1.239014225 + 0.1875 Combine like terms: -0.1875 + 0.1875 = 0.0000 0.0000 + x = 1.239014225 + 0.1875 x = 1.239014225 + 0.1875 Combine like terms: 1.239014225 + 0.1875 = 1.426514225 x = 1.426514225 Simplifying x = 1.426514225Subproblem 2
x + -0.1875 = -1.239014225 Simplifying x + -0.1875 = -1.239014225 Reorder the terms: -0.1875 + x = -1.239014225 Solving -0.1875 + x = -1.239014225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1875' to each side of the equation. -0.1875 + 0.1875 + x = -1.239014225 + 0.1875 Combine like terms: -0.1875 + 0.1875 = 0.0000 0.0000 + x = -1.239014225 + 0.1875 x = -1.239014225 + 0.1875 Combine like terms: -1.239014225 + 0.1875 = -1.051514225 x = -1.051514225 Simplifying x = -1.051514225Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.426514225, -1.051514225}
| 8x(3x+7)=23 | | 3x+5=73 | | (x-1)(x-3)= | | 14-(5v+4)=5v-10 | | 0=3x^2-6x-15 | | 21+7n=3(1+4n)4n | | 25xy^2-36x= | | -16t^2+75t+25=0 | | 5a^2+7=3a^2+25 | | 0.10(d-11)= | | 8-3x+6x=5 | | 9j+16=3j+21 | | -4x-7=-7+6x | | 12-7x=98+6x | | 61=-7x+2x+1 | | -90-(-29)-38(-52)= | | 7x-4+6x=74 | | 3y+15x=0 | | 2x^2=(-2)x-(-24) | | 5x^2+15=3x^2+65 | | -2x+7-7x=-74 | | x+3x(x+40)=180 | | 75r-27= | | 8g+16=5g-1 | | 3(2x+7)=13+2(4x+18) | | 3x-9-4x=-8 | | 1.5D+1=7 | | -3(v+1)=-5(v+12) | | -8+12e=-30 | | 3x^3-3x^2-x+1=0 | | 0=2x-tanx | | y^4-81= |