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Simplifying 40x2 = -7x + 3 Reorder the terms: 40x2 = 3 + -7x Solving 40x2 = 3 + -7x Solving for variable 'x'. Reorder the terms: -3 + 7x + 40x2 = 3 + -7x + -3 + 7x Reorder the terms: -3 + 7x + 40x2 = 3 + -3 + -7x + 7x Combine like terms: 3 + -3 = 0 -3 + 7x + 40x2 = 0 + -7x + 7x -3 + 7x + 40x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 7x + 40x2 = 0 Factor a trinomial. (-3 + -8x)(1 + -5x) = 0Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve: Simplifying -3 + -8x = 0 Solving -3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-0.375, 0.2}
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