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Simplifying (25x4) + -1(15x2) + 2 = 0 Remove parenthesis around (15x2) (25x4) + -1 * 15x2 + 2 = 0 Multiply -1 * 15 (25x4) + -15x2 + 2 = 0 Reorder the terms: 2 + -15x2 + (25x4) = 0 Solving 2 + -15x2 + (25x4) = 0 Solving for variable 'x'. Factor a trinomial. (1 + -5x2)(2 + -5x2) = 0Subproblem 1
Set the factor '(1 + -5x2)' equal to zero and attempt to solve: Simplifying 1 + -5x2 = 0 Solving 1 + -5x2 = 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 + -5x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x2 = 0 + -1 -5x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5x2 = -1 Divide each side by '-5'. x2 = 0.2 Simplifying x2 = 0.2 Take the square root of each side: x = {-0.447213596, 0.447213596}Subproblem 2
Set the factor '(2 + -5x2)' equal to zero and attempt to solve: Simplifying 2 + -5x2 = 0 Solving 2 + -5x2 = 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 + -5x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x2 = 0 + -2 -5x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5x2 = -2 Divide each side by '-5'. x2 = 0.4 Simplifying x2 = 0.4 Take the square root of each side: x = {-0.632455532, 0.632455532}Solution
x = {-0.447213596, 0.447213596, -0.632455532, 0.632455532}
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