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Simplifying 10x2 + 3x + 3x + 1 = 5 Reorder the terms: 1 + 3x + 3x + 10x2 = 5 Combine like terms: 3x + 3x = 6x 1 + 6x + 10x2 = 5 Solving 1 + 6x + 10x2 = 5 Solving for variable 'x'. Reorder the terms: 1 + -5 + 6x + 10x2 = 5 + -5 Combine like terms: 1 + -5 = -4 -4 + 6x + 10x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -4 + 6x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3x + 5x2) = 0 Factor a trinomial. 2((-1 + -1x)(2 + -5x)) = 0 Ignore the factor 2.Subproblem 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 '(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 = {-1, 0.4}
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