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Simplifying (10x2 + -3)(10x2 + 3) = 0 Reorder the terms: (-3 + 10x2)(10x2 + 3) = 0 Reorder the terms: (-3 + 10x2)(3 + 10x2) = 0 Multiply (-3 + 10x2) * (3 + 10x2) (-3(3 + 10x2) + 10x2 * (3 + 10x2)) = 0 ((3 * -3 + 10x2 * -3) + 10x2 * (3 + 10x2)) = 0 ((-9 + -30x2) + 10x2 * (3 + 10x2)) = 0 (-9 + -30x2 + (3 * 10x2 + 10x2 * 10x2)) = 0 (-9 + -30x2 + (30x2 + 100x4)) = 0 Combine like terms: -30x2 + 30x2 = 0 (-9 + 0 + 100x4) = 0 (-9 + 100x4) = 0 Solving -9 + 100x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 100x4 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 100x4 = 0 + 9 100x4 = 0 + 9 Combine like terms: 0 + 9 = 9 100x4 = 9 Divide each side by '100'. x4 = 0.09 Simplifying x4 = 0.09 Reorder the terms: -0.09 + x4 = 0.09 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 -0.09 + x4 = 0.00 Factor a difference between two squares. (0.3 + x2)(-0.3 + x2) = 0.00Subproblem 1
Set the factor '(0.3 + x2)' equal to zero and attempt to solve: Simplifying 0.3 + x2 = 0 Solving 0.3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + x2 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + x2 = 0 + -0.3 x2 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 x2 = -0.3 Simplifying x2 = -0.3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-0.3 + x2)' equal to zero and attempt to solve: Simplifying -0.3 + x2 = 0 Solving -0.3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + x2 = 0 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + x2 = 0 + 0.3 x2 = 0 + 0.3 Combine like terms: 0 + 0.3 = 0.3 x2 = 0.3 Simplifying x2 = 0.3 Take the square root of each side: x = {-0.547722558, 0.547722558}Solution
x = {-0.547722558, 0.547722558}
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