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Simplifying 2x2 + 5 = x2 + 6x Reorder the terms: 5 + 2x2 = x2 + 6x Reorder the terms: 5 + 2x2 = 6x + x2 Solving 5 + 2x2 = 6x + x2 Solving for variable 'x'. Reorder the terms: 5 + -6x + 2x2 + -1x2 = 6x + x2 + -6x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 5 + -6x + 1x2 = 6x + x2 + -6x + -1x2 Reorder the terms: 5 + -6x + 1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 5 + -6x + 1x2 = 0 + x2 + -1x2 5 + -6x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -6x + 1x2 = 0 Factor a trinomial. (1 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1, 5}
| 2x^2+5=c^2+6x | | 47d=24(27)+1 | | 47d=24(26)+1 | | 47d=24(25)+1 | | 47d=24(24)+1 | | 47d=24(23)+1 | | 47d=24(22)+1 | | 47d=24(21)+1 | | 47d=24(20)+1 | | 3x+1y=81 | | 47d=24(19)+1 | | 47d=24(18)+1 | | 47d=24(17)+1 | | 47d=24(16)+1 | | 47d=24(15)+1 | | 47d=24(14)+1 | | 47d=24(13)+1 | | 47d=24(12)+1 | | 47d=24(11)+1 | | 2n+25+3n+15=180 | | 47d=24(10)+1 | | 100=0.05*(100+x) | | 47d=24(9)+1 | | 47d=24(8)+1 | | 100=0.01*(100+x) | | 2n+25=3n+15 | | 47d=24(7)+1 | | 100=0.1*(100+x) | | 47d=24(6)+1 | | 47d=24(5)+1 | | 47d=24(4)+1 | | 47d=24(3)+1 |