If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 30x2 + 11x + -42 Reorder the terms: 0 = -42 + 11x + 30x2 Solving 0 = -42 + 11x + 30x2 Solving for variable 'x'. Combine like terms: 0 + 42 = 42 42 + -11x + -30x2 = -42 + 11x + 30x2 + 42 + -11x + -30x2 Reorder the terms: 42 + -11x + -30x2 = -42 + 42 + 11x + -11x + 30x2 + -30x2 Combine like terms: -42 + 42 = 0 42 + -11x + -30x2 = 0 + 11x + -11x + 30x2 + -30x2 42 + -11x + -30x2 = 11x + -11x + 30x2 + -30x2 Combine like terms: 11x + -11x = 0 42 + -11x + -30x2 = 0 + 30x2 + -30x2 42 + -11x + -30x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 42 + -11x + -30x2 = 0 Begin completing the square. Divide all terms by -30 the coefficient of the squared term: Divide each side by '-30'. -1.4 + 0.3666666667x + x2 = 0 Move the constant term to the right: Add '1.4' to each side of the equation. -1.4 + 0.3666666667x + 1.4 + x2 = 0 + 1.4 Reorder the terms: -1.4 + 1.4 + 0.3666666667x + x2 = 0 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.3666666667x + x2 = 0 + 1.4 0.3666666667x + x2 = 0 + 1.4 Combine like terms: 0 + 1.4 = 1.4 0.3666666667x + x2 = 1.4 The x term is 0.3666666667x. Take half its coefficient (0.1833333334). Square it (0.03361111114) and add it to both sides. Add '0.03361111114' to each side of the equation. 0.3666666667x + 0.03361111114 + x2 = 1.4 + 0.03361111114 Reorder the terms: 0.03361111114 + 0.3666666667x + x2 = 1.4 + 0.03361111114 Combine like terms: 1.4 + 0.03361111114 = 1.43361111114 0.03361111114 + 0.3666666667x + x2 = 1.43361111114 Factor a perfect square on the left side: (x + 0.1833333334)(x + 0.1833333334) = 1.43361111114 Calculate the square root of the right side: 1.197335004 Break this problem into two subproblems by setting (x + 0.1833333334) equal to 1.197335004 and -1.197335004.Subproblem 1
x + 0.1833333334 = 1.197335004 Simplifying x + 0.1833333334 = 1.197335004 Reorder the terms: 0.1833333334 + x = 1.197335004 Solving 0.1833333334 + x = 1.197335004 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1833333334' to each side of the equation. 0.1833333334 + -0.1833333334 + x = 1.197335004 + -0.1833333334 Combine like terms: 0.1833333334 + -0.1833333334 = 0.0000000000 0.0000000000 + x = 1.197335004 + -0.1833333334 x = 1.197335004 + -0.1833333334 Combine like terms: 1.197335004 + -0.1833333334 = 1.0140016706 x = 1.0140016706 Simplifying x = 1.0140016706Subproblem 2
x + 0.1833333334 = -1.197335004 Simplifying x + 0.1833333334 = -1.197335004 Reorder the terms: 0.1833333334 + x = -1.197335004 Solving 0.1833333334 + x = -1.197335004 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1833333334' to each side of the equation. 0.1833333334 + -0.1833333334 + x = -1.197335004 + -0.1833333334 Combine like terms: 0.1833333334 + -0.1833333334 = 0.0000000000 0.0000000000 + x = -1.197335004 + -0.1833333334 x = -1.197335004 + -0.1833333334 Combine like terms: -1.197335004 + -0.1833333334 = -1.3806683374 x = -1.3806683374 Simplifying x = -1.3806683374Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.0140016706, -1.3806683374}
| 4c-5=2c+7 | | 51x+32+9=-21x-22-1 | | x-(-8)+18=28 | | 4x-3=-8x-13 | | 26(c-64)= | | -3n^2+75n=0 | | y=7mx+2b | | 12+(-2)+4+7+(-8)= | | 11n-4n=1n+6 | | 4n-11=n+6 | | 10e+2=102 | | 19+5(4c-3)= | | 10000e+10=1000000000 | | 5b+10=30 | | X^2+150=0 | | 23b+1=116 | | 5r-4r=6 | | 4b+2-2=18-2 | | 3k-5-k=-17 | | 2.50s=1342.5 | | 4=2b-4+2 | | 500+.35s=1342.50 | | 500+.35s=2.50s | | 3x^4+2x^3-34x^2+2x+3=0 | | 5/6(n+23/20)=127/96 | | 7/10(b+3/8)=1099/1840 | | 16+v/12=-1 | | -10n+2=132 | | -5(b-4)=-90 | | 2085000000+5550000x=2085000000+5550000x | | -3a+8=-28 | | .85b=6 |