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Simplifying 238x2 + 70x + 102x + 30 = 243x2 + 99x Reorder the terms: 30 + 70x + 102x + 238x2 = 243x2 + 99x Combine like terms: 70x + 102x = 172x 30 + 172x + 238x2 = 243x2 + 99x Reorder the terms: 30 + 172x + 238x2 = 99x + 243x2 Solving 30 + 172x + 238x2 = 99x + 243x2 Solving for variable 'x'. Reorder the terms: 30 + 172x + -99x + 238x2 + -243x2 = 99x + 243x2 + -99x + -243x2 Combine like terms: 172x + -99x = 73x 30 + 73x + 238x2 + -243x2 = 99x + 243x2 + -99x + -243x2 Combine like terms: 238x2 + -243x2 = -5x2 30 + 73x + -5x2 = 99x + 243x2 + -99x + -243x2 Reorder the terms: 30 + 73x + -5x2 = 99x + -99x + 243x2 + -243x2 Combine like terms: 99x + -99x = 0 30 + 73x + -5x2 = 0 + 243x2 + -243x2 30 + 73x + -5x2 = 243x2 + -243x2 Combine like terms: 243x2 + -243x2 = 0 30 + 73x + -5x2 = 0 Factor a trinomial. (15 + -1x)(2 + 5x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {15, -0.4}
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