If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9x2 + -10x = x2 + 4 Reorder the terms: -10x + 9x2 = x2 + 4 Reorder the terms: -10x + 9x2 = 4 + x2 Solving -10x + 9x2 = 4 + x2 Solving for variable 'x'. Reorder the terms: -4 + -10x + 9x2 + -1x2 = 4 + x2 + -4 + -1x2 Combine like terms: 9x2 + -1x2 = 8x2 -4 + -10x + 8x2 = 4 + x2 + -4 + -1x2 Reorder the terms: -4 + -10x + 8x2 = 4 + -4 + x2 + -1x2 Combine like terms: 4 + -4 = 0 -4 + -10x + 8x2 = 0 + x2 + -1x2 -4 + -10x + 8x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -10x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -5x + 4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -5x + 4x2)' equal to zero and attempt to solve: Simplifying -2 + -5x + 4x2 = 0 Solving -2 + -5x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.5 + -1.25x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + -1.25x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + -1.25x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1.25x + x2 = 0 + 0.5 -1.25x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -1.25x + x2 = 0.5 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = 0.5 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = 0.5 + 0.390625 Combine like terms: 0.5 + 0.390625 = 0.890625 0.390625 + -1.25x + x2 = 0.890625 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = 0.890625 Calculate the square root of the right side: 0.943729304 Break this problem into two subproblems by setting (x + -0.625) equal to 0.943729304 and -0.943729304.Subproblem 1
x + -0.625 = 0.943729304 Simplifying x + -0.625 = 0.943729304 Reorder the terms: -0.625 + x = 0.943729304 Solving -0.625 + x = 0.943729304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = 0.943729304 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = 0.943729304 + 0.625 x = 0.943729304 + 0.625 Combine like terms: 0.943729304 + 0.625 = 1.568729304 x = 1.568729304 Simplifying x = 1.568729304Subproblem 2
x + -0.625 = -0.943729304 Simplifying x + -0.625 = -0.943729304 Reorder the terms: -0.625 + x = -0.943729304 Solving -0.625 + x = -0.943729304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = -0.943729304 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = -0.943729304 + 0.625 x = -0.943729304 + 0.625 Combine like terms: -0.943729304 + 0.625 = -0.318729304 x = -0.318729304 Simplifying x = -0.318729304Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.568729304, -0.318729304}Solution
x = {1.568729304, -0.318729304}
| -13+18(15-14b)= | | 17-3c=-76 | | 2(x-3)-9=x | | |x|+10=12 | | (7x+4y)-(2x+8y)= | | 0=4x^2+6x-1 | | -5y-25=35 | | y=4+6x | | 12=0.2x | | 8x+1=14x-2 | | 26+5d=-9(6d-7) | | -100+8x=10x | | 18(-16h-15)-11h= | | 3(y+2)-5=2(y+6) | | 7x+4y+(2x+8y)= | | 9-4x+12+2x-7=10 | | 15+6a=3(8a+5) | | -2.2/2.2 | | x/30+12=x/2 | | 12a+26b-(4b-16A)= | | 7+5x=0 | | -32=-4b-12b | | 1+8n=5+7n | | 7x-4y+2x+8y= | | x/130+12=x/2 | | 4(6+8z)=-19 | | (s-6)+5(s-6)=60-6 | | 15+16(-19-14d)= | | 4x-1=8+x | | (8x)/4 | | 8x+6-9x=2-2x-15 | | 9-(4x-6)= |