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Simplifying 5x * x + x = 510 Multiply x * x 5x2 + x = 510 Reorder the terms: x + 5x2 = 510 Solving x + 5x2 = 510 Solving for variable 'x'. Reorder the terms: -510 + x + 5x2 = 510 + -510 Combine like terms: 510 + -510 = 0 -510 + x + 5x2 = 0 Factor a trinomial. (-51 + -5x)(10 + -1x) = 0Subproblem 1
Set the factor '(-51 + -5x)' equal to zero and attempt to solve: Simplifying -51 + -5x = 0 Solving -51 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -5x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -5x = 0 + 51 -5x = 0 + 51 Combine like terms: 0 + 51 = 51 -5x = 51 Divide each side by '-5'. x = -10.2 Simplifying x = -10.2Subproblem 2
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 = 10Solution
x = {-10.2, 10}
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