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Simplifying 3x2 + 190 = 4x2 + 9x Reorder the terms: 190 + 3x2 = 4x2 + 9x Reorder the terms: 190 + 3x2 = 9x + 4x2 Solving 190 + 3x2 = 9x + 4x2 Solving for variable 'x'. Reorder the terms: 190 + -9x + 3x2 + -4x2 = 9x + 4x2 + -9x + -4x2 Combine like terms: 3x2 + -4x2 = -1x2 190 + -9x + -1x2 = 9x + 4x2 + -9x + -4x2 Reorder the terms: 190 + -9x + -1x2 = 9x + -9x + 4x2 + -4x2 Combine like terms: 9x + -9x = 0 190 + -9x + -1x2 = 0 + 4x2 + -4x2 190 + -9x + -1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 190 + -9x + -1x2 = 0 Factor a trinomial. (10 + -1x)(19 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Simplifying x = -19Solution
x = {10, -19}
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