If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.5 * 32x2 + 1000x + 50 = 10 Multiply -0.5 * 32 -16x2 + 1000x + 50 = 10 Reorder the terms: 50 + 1000x + -16x2 = 10 Solving 50 + 1000x + -16x2 = 10 Solving for variable 'x'. Reorder the terms: 50 + -10 + 1000x + -16x2 = 10 + -10 Combine like terms: 50 + -10 = 40 40 + 1000x + -16x2 = 10 + -10 Combine like terms: 10 + -10 = 0 40 + 1000x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(5 + 125x + -2x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(5 + 125x + -2x2)' equal to zero and attempt to solve: Simplifying 5 + 125x + -2x2 = 0 Solving 5 + 125x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -2.5 + -62.5x + x2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + -62.5x + 2.5 + x2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + -62.5x + x2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -62.5x + x2 = 0 + 2.5 -62.5x + x2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 -62.5x + x2 = 2.5 The x term is -62.5x. Take half its coefficient (-31.25). Square it (976.5625) and add it to both sides. Add '976.5625' to each side of the equation. -62.5x + 976.5625 + x2 = 2.5 + 976.5625 Reorder the terms: 976.5625 + -62.5x + x2 = 2.5 + 976.5625 Combine like terms: 2.5 + 976.5625 = 979.0625 976.5625 + -62.5x + x2 = 979.0625 Factor a perfect square on the left side: (x + -31.25)(x + -31.25) = 979.0625 Calculate the square root of the right side: 31.289974433 Break this problem into two subproblems by setting (x + -31.25) equal to 31.289974433 and -31.289974433.Subproblem 1
x + -31.25 = 31.289974433 Simplifying x + -31.25 = 31.289974433 Reorder the terms: -31.25 + x = 31.289974433 Solving -31.25 + x = 31.289974433 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31.25' to each side of the equation. -31.25 + 31.25 + x = 31.289974433 + 31.25 Combine like terms: -31.25 + 31.25 = 0.00 0.00 + x = 31.289974433 + 31.25 x = 31.289974433 + 31.25 Combine like terms: 31.289974433 + 31.25 = 62.539974433 x = 62.539974433 Simplifying x = 62.539974433Subproblem 2
x + -31.25 = -31.289974433 Simplifying x + -31.25 = -31.289974433 Reorder the terms: -31.25 + x = -31.289974433 Solving -31.25 + x = -31.289974433 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31.25' to each side of the equation. -31.25 + 31.25 + x = -31.289974433 + 31.25 Combine like terms: -31.25 + 31.25 = 0.00 0.00 + x = -31.289974433 + 31.25 x = -31.289974433 + 31.25 Combine like terms: -31.289974433 + 31.25 = -0.039974433 x = -0.039974433 Simplifying x = -0.039974433Solution
The solution to the problem is based on the solutions from the subproblems. x = {62.539974433, -0.039974433}Solution
x = {62.539974433, -0.039974433}
| 2x^2+23x-6=0 | | 2x-4=-5x+2 | | 7x+6x+2+9=3x+5+9x | | 180=(x+96)+5x | | 13-6/5a=6 | | 5(4x+7)=-75 | | 1/2*4*3 | | 8x^2+2x=7x^2-2x+32 | | x+42=2x+1 | | 3+4=19 | | 10x-5=20-6 | | y=4w^2+450/x | | 8x-6=14-20 | | X^2-3x-60=0 | | 7/5+4/5=89/30+7/6x+5/6 | | x=24+4 | | -2(x+3)-2=-4(a-4) | | 3x-5x=6x+12 | | X=24y+4 | | 6(3x+3)=24 | | 1/2m+6=18 | | (8x-4)(9x+7)=0 | | 3/q=5/q+4 | | 1/12x^2-12=0 | | x^2-20+10x=180 | | 2x/6+14=x/4-7 | | 3/x+1=4/x-1 | | 4(x-6)=24 | | r=5d(60-t) | | r=1d(60-t) | | 6x-3(-4x-17)=-75 | | -24+p+8=4+3p |