If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8x2 + 14x + 4 = 0 Reorder the terms: 4 + 14x + 8x2 = 0 Solving 4 + 14x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 7x + 4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 7x + 4x2)' equal to zero and attempt to solve: Simplifying 2 + 7x + 4x2 = 0 Solving 2 + 7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.5 + 1.75x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 1.75x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 1.75x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.75x + x2 = 0 + -0.5 1.75x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 1.75x + x2 = -0.5 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = -0.5 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -0.5 + 0.765625 Combine like terms: -0.5 + 0.765625 = 0.265625 0.765625 + 1.75x + x2 = 0.265625 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = 0.265625 Calculate the square root of the right side: 0.515388203 Break this problem into two subproblems by setting (x + 0.875) equal to 0.515388203 and -0.515388203.Subproblem 1
x + 0.875 = 0.515388203 Simplifying x + 0.875 = 0.515388203 Reorder the terms: 0.875 + x = 0.515388203 Solving 0.875 + x = 0.515388203 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + x = 0.515388203 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + x = 0.515388203 + -0.875 x = 0.515388203 + -0.875 Combine like terms: 0.515388203 + -0.875 = -0.359611797 x = -0.359611797 Simplifying x = -0.359611797Subproblem 2
x + 0.875 = -0.515388203 Simplifying x + 0.875 = -0.515388203 Reorder the terms: 0.875 + x = -0.515388203 Solving 0.875 + x = -0.515388203 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + x = -0.515388203 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + x = -0.515388203 + -0.875 x = -0.515388203 + -0.875 Combine like terms: -0.515388203 + -0.875 = -1.390388203 x = -1.390388203 Simplifying x = -1.390388203Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.359611797, -1.390388203}Solution
x = {-0.359611797, -1.390388203}
| x^4-18x^3+90x^2+54x-1215=0 | | 4n+2=9 | | 14=6m | | -k+8=-4k+k-4 | | 8p=-8 | | (-6.2x+6)(-4)= | | 26.5=3+5.5 | | 6a-3=2+7a | | k-(-5)=-5 | | 5+3(q-4)=2(q+3) | | (u-4)-(3u^2-5u-4)= | | y=5.5+3x | | 3x+3=2x-12 | | 7-5y=4-4y | | (-4.3x+2)(-6)= | | x+7x-2x=9b+2x | | 7x-5+7=6x-6 | | -3=2+a/11 | | y=3x+5.5 | | 8(x-3)=-(x-12) | | n+5=5-4n | | 5x-9y=-1 | | (3-2i)(6+7i)= | | -5d*10d-7d+8= | | 9(x+1)=6-2(9x+7) | | 12x-(2x-9)=79 | | 13x-290=0 | | 15x^2=-11x+14 | | 8C^2+18C-35=0 | | (X^2)=2x+99 | | 2(x-2)+10(x+2)+(3x-8)=180 | | 5y-3+6(2y-4)=-4(2y-3)+9 |