If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 92 = (4p + -3) * 6p Reorder the terms: 92 = (-3 + 4p) * 6p Reorder the terms for easier multiplication: 92 = 6p(-3 + 4p) 92 = (-3 * 6p + 4p * 6p) 92 = (-18p + 24p2) Solving 92 = -18p + 24p2 Solving for variable 'p'. Reorder the terms: 92 + 18p + -24p2 = -18p + 18p + 24p2 + -24p2 Combine like terms: -18p + 18p = 0 92 + 18p + -24p2 = 0 + 24p2 + -24p2 92 + 18p + -24p2 = 24p2 + -24p2 Combine like terms: 24p2 + -24p2 = 0 92 + 18p + -24p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(46 + 9p + -12p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(46 + 9p + -12p2)' equal to zero and attempt to solve: Simplifying 46 + 9p + -12p2 = 0 Solving 46 + 9p + -12p2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. -3.833333333 + -0.75p + p2 = 0 Move the constant term to the right: Add '3.833333333' to each side of the equation. -3.833333333 + -0.75p + 3.833333333 + p2 = 0 + 3.833333333 Reorder the terms: -3.833333333 + 3.833333333 + -0.75p + p2 = 0 + 3.833333333 Combine like terms: -3.833333333 + 3.833333333 = 0.000000000 0.000000000 + -0.75p + p2 = 0 + 3.833333333 -0.75p + p2 = 0 + 3.833333333 Combine like terms: 0 + 3.833333333 = 3.833333333 -0.75p + p2 = 3.833333333 The p term is -0.75p. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75p + 0.140625 + p2 = 3.833333333 + 0.140625 Reorder the terms: 0.140625 + -0.75p + p2 = 3.833333333 + 0.140625 Combine like terms: 3.833333333 + 0.140625 = 3.973958333 0.140625 + -0.75p + p2 = 3.973958333 Factor a perfect square on the left side: (p + -0.375)(p + -0.375) = 3.973958333 Calculate the square root of the right side: 1.993478952 Break this problem into two subproblems by setting (p + -0.375) equal to 1.993478952 and -1.993478952.Subproblem 1
p + -0.375 = 1.993478952 Simplifying p + -0.375 = 1.993478952 Reorder the terms: -0.375 + p = 1.993478952 Solving -0.375 + p = 1.993478952 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + p = 1.993478952 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + p = 1.993478952 + 0.375 p = 1.993478952 + 0.375 Combine like terms: 1.993478952 + 0.375 = 2.368478952 p = 2.368478952 Simplifying p = 2.368478952Subproblem 2
p + -0.375 = -1.993478952 Simplifying p + -0.375 = -1.993478952 Reorder the terms: -0.375 + p = -1.993478952 Solving -0.375 + p = -1.993478952 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + p = -1.993478952 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + p = -1.993478952 + 0.375 p = -1.993478952 + 0.375 Combine like terms: -1.993478952 + 0.375 = -1.618478952 p = -1.618478952 Simplifying p = -1.618478952Solution
The solution to the problem is based on the solutions from the subproblems. p = {2.368478952, -1.618478952}Solution
p = {2.368478952, -1.618478952}
| -3n-4n=-6-5n | | 4x+50=-5x+5 | | 36=8+14p | | 7+(1+4n)-n= | | -13=h+15.603 | | 1v-6=-6+6v | | n^2-6n-66=-6 | | 15=z+9 | | -20=x-20 | | d=9/5(d-96) | | R=t(k-c) | | -14x+141=-15x-2+12x | | lny=9t+4 | | -3z+7=23 | | -9m-8(4m-7)= | | 8+6=2+7 | | 3x-24=-9x | | (3p+5)(3p-5)= | | 2=-0.05x^2+27 | | 5x+17+x=30 | | 13x-3=3x+2 | | x+(-3x)=12 | | 5x^2+15x+3= | | 2x+49=-8x+9 | | -4(-5v+7)-9v= | | 35b^2=5b | | 4x-4=6x-4-2x | | (-5)(-6)(2)= | | 2(5)-2=4 | | 0.25+x=1.25 | | 9+5a=6a+1 | | 3x+5=8(6-5x) |