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Simplifying 5x * 5x + 20x + 4 = 16 Reorder the terms for easier multiplication: 5 * 5x * x + 20x + 4 = 16 Multiply 5 * 5 25x * x + 20x + 4 = 16 Multiply x * x 25x2 + 20x + 4 = 16 Reorder the terms: 4 + 20x + 25x2 = 16 Solving 4 + 20x + 25x2 = 16 Solving for variable 'x'. Reorder the terms: 4 + -16 + 20x + 25x2 = 16 + -16 Combine like terms: 4 + -16 = -12 -12 + 20x + 25x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -12 + 20x + 25x2 = 0 Factor a trinomial. (-6 + -5x)(2 + -5x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 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 = {-1.2, 0.4}
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