If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -8x2 + 10x + 32 = 0 Reorder the terms: 32 + 10x + -8x2 = 0 Solving 32 + 10x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 5x + -4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + 5x + -4x2)' equal to zero and attempt to solve: Simplifying 16 + 5x + -4x2 = 0 Solving 16 + 5x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -4 + -1.25x + x2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + -1.25x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -1.25x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1.25x + x2 = 0 + 4 -1.25x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1.25x + x2 = 4 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 = 4 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = 4 + 0.390625 Combine like terms: 4 + 0.390625 = 4.390625 0.390625 + -1.25x + x2 = 4.390625 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = 4.390625 Calculate the square root of the right side: 2.095381827 Break this problem into two subproblems by setting (x + -0.625) equal to 2.095381827 and -2.095381827.Subproblem 1
x + -0.625 = 2.095381827 Simplifying x + -0.625 = 2.095381827 Reorder the terms: -0.625 + x = 2.095381827 Solving -0.625 + x = 2.095381827 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 = 2.095381827 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = 2.095381827 + 0.625 x = 2.095381827 + 0.625 Combine like terms: 2.095381827 + 0.625 = 2.720381827 x = 2.720381827 Simplifying x = 2.720381827Subproblem 2
x + -0.625 = -2.095381827 Simplifying x + -0.625 = -2.095381827 Reorder the terms: -0.625 + x = -2.095381827 Solving -0.625 + x = -2.095381827 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 = -2.095381827 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = -2.095381827 + 0.625 x = -2.095381827 + 0.625 Combine like terms: -2.095381827 + 0.625 = -1.470381827 x = -1.470381827 Simplifying x = -1.470381827Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.720381827, -1.470381827}Solution
x = {2.720381827, -1.470381827}
| -3z+8+(-2z)=-13 | | 0.6+x=x-0.28571428571 | | 3(1+5n)-1= | | -8x-15=-175 | | (4x+7y)+(2x+4y)=180 | | -4x+4y=28 | | -10x-18+9x=12 | | 3r^2+10r-48=0 | | 540-3x=630-7x | | 25q^2-10q-3=0 | | x-.333333x-15=0 | | -7x-22=3x+18 | | 2x-11x+15=0 | | 8x=2x+4y | | 1.3(6p-12)=5 | | 3(1-x)=12 | | 6w+21= | | 4q^2-8q-5=0 | | -61+4x-7x=26 | | 1-0.66x=9 | | 3x+2=90 | | 2x-(x-3)=5x+11 | | 2x^3-3x^2=12-8x | | 27x+85=3x+9 | | 2x-5x-6.3=-14.4 | | 4y-8=-12 | | 6(x-2)+10=4(x+1) | | 0.45x+.05(8-x)=.10(60) | | 25+0.35=109.00 | | 5x(3x+17)=2(-8-x) | | 9q^2-9q-4=0 | | 2u^2+u-1=0 |